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Husband & wife have a combined age of 91. If husband is now twice as old as his wife was when he was as old as she is...

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A husband and wife have a combined age of 91. If husband is now twice as old as his wife was when he was as old as she is now.
How old are they now?

posted Mar 12, 2016 by Navya

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3 Answers

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Best answer

suppose current ages of husband and wife are x and y resp.
so,
x+y=91...........(i)
difference of there ages= y-x

now when husband's age was as the wife's age is now, i.e, y
then wife's age would be = y+age difference
= y+ (y-x)
=2y- x
now, according to problem,
x=2*(2y - x)
x=4y - 2x
3x - 4y=0
replacing x=91-y from (i)... we get
3*(91 - y) - 4y=0
273 - 3y - 4y =0
or,
7y = 273
y = 39
from (i), x = 52

So, husband's age = 52 and wife's age = 39.

answer Mar 14, 2016 by Ashutosh Kumar Anand
0 votes

This problem should be resolved by trial and error.
1st scenario.
Husband is 50 years old and Wife is 91 - 50 = 41 years old
When husband was 41 years old , she was 41 - 9 = 32 years old Ratio : 41/ 32 = 1,28
2nd scenario
Husband is 55 years old and Wife is 91 - 55 = 36 years old
When husband was 36 years old, she was 36 - (55-36) = 17 years old Ratio : 36/ 17 = 2.11
3rd scenario
Husband is 54 years old and Wife is 91 - 54 = 37 years old
When husband was 37 years old , she was 37- (54-37) = 20 Ratio ; 37/20 = 1,85
Age of husband is between 54 - 55 , and wife between 36 - 37
Solution
Husband is 54,6 years old and wife is 36,4 years old
When husband is 36,4 years ols, she was 36,4 - (54,6 - 36,4 ) = 18,2 Ratio = 36,4/18,2 = 2

answer Mar 14, 2016 by anonymous
0 votes

She age is 30 years and 4 months
He age is 60 years 8 months

From
Maneesh kumar

answer Mar 14, 2016 by anonymous
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