Question

Sum of the present age of manish and savita is31 manish,s age 3years ago was 4times the ahe of savita find their present ages

Answer 1

Given :

• Sum of the present age of manish and savita is 31.

• Manish,s age 3 years ago was 4times the ahe of Savita.

To find :

• Their present ages =?

Step-by-step explanation :

Let the present ages of Manish's and Savita's be m and s respectively.

It is Given that,

Sum of the present age of manish and savita is 31.

So,

m + s = 31 ....(1)

And m - 3 = 4(s - 3)

m - 3 = 4s - 12

m - 4s = -9 ....(2)

Subtracting equation (1) and (2) we get

m + s - ( m - 4s) = 31 - (-9)

m + s - m + 4s = 40

5s = 40

s = 8

On putting the value of s = 8 in equation (1) we get,

m + s = 31

m + 8 = 31

m = 31 - 8

m = 23

Therefore, Manish and Savita are 23 and 8 yrs old respectively.