CTS Company Numerical Ability Age Problem

Sonal is one-filth the age her mother was 15 years ago and Sonal’s brother is three-fifth the age his mother was 10 years ago. If the sum of Sonal and her brother’s ages is 31 then how old is Sonal's mother?

Options
1) 50
2) 40
3) 35
4) 60

Read Solution (Total 2)

Sonal and brother age sum is 31
Putting the conditions mentioned for both of their age related to their mom

1/5(x-15) + 3/5(x-10) =31
x-15 +3x-30 = 155
4x-45 =155
4x= 200
x= 50

So, Mother age = 50.

Cross verification.. 15 years ago age = 35 ==> Sonal age = 7
10 years ago age = 40==> bro age = 24

Sum= 24+7= 31

:) :)
8 years agoHelpfull: Yes(21) No(0)

let mother's age=x
sonal=(x-15)/5
sonal's bro=(x-10)3/5=(3x-30)/5
x-15+3x-30=31(5)
4x=155+45=200
x=50
4 years agoHelpfull: Yes(1) No(1)

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