# A man is 24 years older than his son 12 years ago he was five times as old as his son Find the number

2
by RUTVI1

Log in to add a comment

by RUTVI1

Log in to add a comment

his son's be y

according to given condition

x=y+24..........eq i

according to second condition

(x-12)=5(y-12)

x-12= 5y-60

x-12+60=5y

x+48=5y

now from eq i

(y+24)+48=5y

y+24+48=5y

24+48=5y-y

72=4y

y=18

x=y+24

x=18+24=42

So, his father age = x + 24

12 yrs ago,

Son's age = x - 12

Fathers age = (x + 24) - 12

= x + 12

Given,

5(x -12) = x + 12

5x - 60 = x + 12

4x = 72

x = 72/4 = 18

So, the son's present age = 18 yrs

And, fathers present age = 18 + 24 = 42 yrs