Question

In 2014bthe square of Chetan's age was half of his mother's age. If present age of his mother is 5 times of his mother's age(in 2017) then what will his age be in 2020

Answer 1

Step-by-step explanation:

Let Chetan's age be x, let his mothers age be y

In 2014, x^2=y/2

In 2017, X= 5Y

To convert the variables in 2014 to 2017, X=x+3, Y=y+3

In 2014, (X-3)^2=(Y-3)/2

X^2-6X+9=(Y-3)/2

Since X=5Y, Y=X/5

Therefore, X^2-6X+9=(X/5 -3)/2

X^2-6X+9=X/10-3/2

Multiply by 10 on the equation

10X^2-60X+90= X-15

10X^2-61X+105=0

X+3= Chetan's age in 2020