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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

.

A # 50. The length of a rectangle is 3 meters more than three times its breadth. Its diagonal is 1 meter more than the length. Find the length and breadth of the rectangle.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
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Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

The solution A # 50 is correct. Splendid, Monox D. I-Fly!

A # 51. The product of the digits of two digit number is 12. When 36 is added to the number, a number is obtained with the digits reversed. Find the number.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

A # 52. Added to the product of two consecutive multiples of 6 gives 729. What are the numbers?

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

.

A # 53. A shopkeeper buys a number of of books for $1200. If he had 10 bought 10 more books for the same amount, each book would have cost him $20 less. How many books did he buy?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

A # 54. The length of the sides forming angle of a right triangle are 5y centimeters and (3y - 1) centimeters. If the area of the triangle is 60 square centimeters, find its hypotenuse.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

.

A # 55. The sum of the square of two consecutive odd numbers is 394. Find the numbers.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

The solution A # 55 is correct. Excellent, Monox D. I-Fly!

A # 56. Sum of the areas of two squares is 400 square centimeters. If the difference of their perimeters is 16 centimeters, find the sides of the two squares.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

The solution A # 56 is correct. Excellent, Monox D. I-Fly!

A # 57. The common difference of an Arithmetic sequence is 1 and the product of the first and the 3rd terms is 143. What are the first three terms?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

The solution A # 57 is correct. Neat work, Monox D. I-Fly!

A # 58. How many terms of the Arithmetic Progression 5, 7, 9, ... must be added to get 140?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

A # 59. If the price of a toy is lessened by $2, one could have bought 2 more toys for $360. Find the actual price of the toy.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

A # 60. How many terms of the arithmetic sequence 99, 97, 95, ..... must be added to get 900?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

Good attempt, Monox D. I-Fly!

A#61. When the square of a number is added to the number, we get 30. What are the numbers?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

.

The solution A#61 is correct. Neat work, Monox D. I-Fly!

A#62. Which term of the sequence 2, 5, 8, ..... gives its square 2500?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 706

A#62 solution is 17th term

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

The solution A#62. Excellent, 666 bro!

A#63. The length of a rectangle is 2 more than its width. Area of the rectangle is 80. Find length and breadth.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

.

The solution is correct. Neat work, Monox D. I-Fly!

A#64. Sum of the squares of three consecutive natural numbers is 110. Find the numbers.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

May his adventurous soul rest in peace at heaven.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,405

Hi,

The solution is correct. Neat work, Monox D. I-Fly!

A#65. Serena and Johann had 45 diamond stones. They sold 5 sones. The product of the remaining stones is 124. Find the number of stones each had.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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