Question

Sum of the ages of husband and wife is 57. After 5 years the difference between their age is 5. What is the product of their ages now?

Answer 1

let the age of wife and husband be x and y
now
x+y=57
x=57-y
after 5 yrs
x+5+5=y+5
x+10=y+5
x-y=-5
57-y-y=-5
62=2y
y=31
x=57-y
x=57-31=26

Answer 2

HEY....!! HERE US YOUR SOLUTION....!!

Let the age of Husband Be h, and Wife age be w,
Now,
h + w = 57........(1).....

h+5 - w+5 = 5
h - w = 5-10
h - w = -5..........(2)......

FROM EQN..1 AND 2....., WE GOT,
2h = 52
h = 26.....

The w age = 57 - 26
w = 31.......
The age of h after 5 years = 26 + 5
= 31....
The age of w after 5 years = 31 + 5
= 36......

The product of h and w age = 31 × 36
= 1,116.....Ans.....

HOPE IT'S HELP YOU A LOT !
@ujjwalusri