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Mr. and Mrs. Jones have three children, all under the age of 20.What are the children's ages now?

+1 vote
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Mr. and Mrs. Jones have three children, all under the age of 20, but none with the same age.
Last year, the product of the three ages was 224.
This year the product of the three ages is 360
What are the children's ages now?

posted Apr 16, 2016 by Sandeep Otari

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4 Answers

0 votes

Ans Children's present age are 5,8 & 9 years.
This year,
5*8*9=360 years
last year,
4*7*8=224 years

answer Apr 16, 2016 by Jaikumar Bhatia
0 votes

The ages could be 9, 8, 5
Product 9 x 8 x 5 = 360
Previous year 8, 7, 4
8 x 7 x 4 = 224

answer Apr 17, 2016 by Anup Desai
0 votes

Child 1 = 8
Child 2 = 9
Child 3 = 5

8x9x5=360
7x8x4=224

answer Apr 18, 2016 by anonymous
0 votes

LET X, Y, Z be present ages of children
Two equations can be written, as follows:
(X-1)*(Y-1)*(Z-1) = 224 (1)
X*Y+Z = 360 (2)
The number 360 can be decomposed as follows:
360 = (2*2*2) * (3*3) * (5) = 8 * 9* 5
By replacing values into equation1, yields:
(8-1)* (9-1) * (5-1) = 7*8*4 = 224
Then, the actual ages of children are : 8 years, 9 years and 5 years

answer Apr 18, 2016 by anonymous



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