Question

Rohan's mother is 26 years older than him. The product of their ages 3 years from now will be 360 . what is Rohan's present age?

Answer 1

LET THE AGE OF ROHAN= x

SO,his mother age will=26+x

Now,their ages after 3 years=

rohan age=x+3

mother age=x+26+3

                   =x+29

product of their ages=360

so,(x+3)(x+29)=360

..x^2+3x+29x+87=360

..x^2+32x+87=360

..x^2+32x=360-87

..x^2+32x=273

..x(x+32)=273

..x(x+32)-273=0

..x^2+32-273=0

..x^2+39x-7x-273

..x(x+39)-7(x+39)

..(x-7)(x+39)

..therefore,

x-7=0

x=7

=>rahul's age=7yrs

=>rahul's mother's age=x+26

                                      =7+26

                                      =33

SOLVED!

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