Question

The ratio of the age of a women to that of her husband was 5:7 when they were first married after 20 years of married, this ratio will be 5:6 what were the age of the hunsband and wife at the time they were first married

Answer 1

let the age of the women and husband when they were married be x and y

according to problem

x/y=5/7=7x=5y=x=5y/7

and after 20 years the ratio of there age will be 5:6

x+20/y+20=5/6

6(x+20)=5(y+20)

6x+120=5y+100

6x-5y=-20

6(5y/7)-5y=-20

30y/7-5y=-20

30y-35y/7=-20

-5y/7=-20

-5y=-140

y=28

x=5y/7

5(28)/7=20