Question

sum of the present ages of manish and savita is 31. manish age three years ago was four time the age of savita.find there present ages

Answer 1

Let,
the age of manish =x
Age of savita = y
____,

x+y = 31 ---1equation
______

3 years ago,
Manish's age = (x-3) years
Savita's age = (y-3) years
___________
According to the given information,

(x-3) =4(y-3)

x-3 =4y -12

x =4y -12 +3

x = 4y -9


Putting the value of x in equation 1,

x +y =31
4y -9 +y =31
5y =31+9

5y =40

y =40/5
y =8

_____,

Putting the value of y in 1equation,

x+y =31
x +8=31

x =31-8
x =23
_______, _,

Age of manish =x =23 years

Age of savita =y =8 years




I hope this will help you