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**ganesh****Administrator**- Registered: 2005-06-28
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Hi,

#7706. The average age of a husband and wife, who were born 7 years ago, was 25 years at the time of their marriage. Now, the average age of family, including husband, wife, and a child (born during the interval) is 22 years. What is the present age of the child?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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**ganesh****Administrator**- Registered: 2005-06-28
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#7707. There were 24 students in a class. One of them, who was 18 years old, left the class and his place was taken by a newcomer. If the average of the class was thereby lowered by 1 month, find the age of the newcomer.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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**ganesh****Administrator**- Registered: 2005-06-28
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#7708. 19 persons went to a hotel for a combined dinner party. 13 of them spent $79 each on their dinner and the rest spent $4 more than the average expenditure of all the 19. What is the total money spent by them (approximately)?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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**math9maniac****Member**- From: Tema
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*Last edited by math9maniac (2020-02-14 05:31:40)*

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**ganesh****Administrator**- Registered: 2005-06-28
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Hi,

Good attempt, math9maniac!

#7709. The average of five positive numbers is 213. The average of the first two numbers is 233.5 and the average of the last two numbers is 271. What is the third number?

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**ganesh****Administrator**- Registered: 2005-06-28
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#7710. If

then find the value ofNothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**ganesh****Administrator**- Registered: 2005-06-28
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#7711.27 pens are divided among Amy, Ursula, and Gia such that the ratio of pens with Amy and Ursula is 1:2 and that with Ursula and Gia is 4:3. How many pens did Amy get?

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**ganesh****Administrator**- Registered: 2005-06-28
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#7712. A certain amount of money was divided between Sam and Ben in the ratio 2:3. If Sam's share is $2400, find Ben's share.

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**math9maniac****Member**- From: Tema
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**math9maniac****Member**- From: Tema
- Registered: 2015-03-30
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ganesh wrote:

Hi,

Solution #7708

Good attempt, math9maniac!

Dear ganesh,

Thanks for sharing your solution. I think the answer can be 1536 if each of the remaining 6 spent 4 more than the average. Since, the question didn't indicate anything about each, I worked it as the combined 6/. The question stated "13 of them spent $79 each on their dinner and the rest spent $4 more than the average expenditure of all the 19." The 'each' clause was only stated for the 13, but 'the rest [6 pf them] spent $4 more than the ...

I would love your feedback on this. Many thanks

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**ganesh****Administrator**- Registered: 2005-06-28
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Hi math9maniac,

Your interpretation #7708 is beyond my comprehension.

Solution #7712 is correct. Neat work!

#7713. If 45% of a number is added to another number, the first number becomes 1.35 times of the other number. What is the ratio of these two numbers?

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**ganesh****Administrator**- Registered: 2005-06-28
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#7714. The first, second, and fourth term of a proportion are 3, 17, and 51. Find the third term.

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**ganesh****Administrator**- Registered: 2005-06-28
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#7715. Given 9, m, m, 36 are in proportion. Find the value of m.

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**ganesh****Administrator**- Registered: 2005-06-28
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#7716. The ratio of the number of males to females in a town is 10:9. If the number of females is 8181, find the total population of the town.

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**ganesh****Administrator**- Registered: 2005-06-28
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#7717. Find the mean proportion of 0.02 and 0.32.

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**ganesh****Administrator**- Registered: 2005-06-28
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#7718. Find the mean proportion between the numbers 8 and 18.

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**ganesh****Administrator**- Registered: 2005-06-28
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#7719. 150 kilograms of rice last for 30 days for 6 soldiers. If 4 more soldiers join the group, then the amount of rice would last for how many days?

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**math9maniac****Member**- From: Tema
- Registered: 2015-03-30
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**ganesh****Administrator**- Registered: 2005-06-28
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Hi,

Neat work, math9maniac!

#7720. A typist types 100 pages in 3 working daysh hours a day. How many hours a day would she have to work in order to complete the work in 2 days?

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**ganesh****Administrator**- Registered: 2005-06-28
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#7721. If 15 men can do a piece of work in 24 days, in how many days would 12 men do the same work?

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**ganesh****Administrator**- Registered: 2005-06-28
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#7722. If 100 laborers can build a wall in 6 days then how many more labors are required to build the same wall in 4 days?

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**ganesh****Administrator**- Registered: 2005-06-28
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#7723. If 11 typists type 220 pages in 10 days, then how many pages would 12 typists type in 20 days?

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**ganesh****Administrator**- Registered: 2005-06-28
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#7724. A stock of food grains would last for 24 weeks for a group of 250 soldiers. If at the end of 15 weeks, 200 new soldiers join the group. How long the remaining stock of food grains last for?

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**ganesh****Administrator**- Registered: 2005-06-28
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#7725. The ratio of age of A and B is 4:3. Four years ago, the ratio was 10:7. Find the present age of A and B respectively.

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**ganesh****Administrator**- Registered: 2005-06-28
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#7726. The ratio of age of A and his father is 1:7. The difference between their ages is 30 years. What would be the ratio 10 years later?

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