Question

the product of ram's Age 5 years ago with his age 9 years later is 15 find ram's present age.

Answer 1

( x - 5 ) × ( x + 9 ) = 15
x^2 - 5x + 9x - 45 = 15
x^2 + 4x = 60
x^2 + 4x - 60 = 0
x^2 + 10x - 6x - 60 = 0
x ( x + 10 ) - 6 ( x + 10 ) = 0
( x -6 ) ( x + 10 ) = 0
x = 6
x = -10

Answer 2

Let the present age of Ram be x years
5 years ago , age of Ram = x-5
9 years later, age of Ram = x+9
According to the question
(x-5)(x+9) = 15
${x }^{2} + 9x - 5x - 45 = 15 \\ {x}^{2} + 4x - 45 - 15 = 0 \\ {x}^{2} + 4x - 60 = 0 \\ {x}^{2} + 10x - 6x - 60 = 0 \\ x(x + 10) - 6(x + 10) = 0 \\ (x - 6)(x + 10) = 0 \\ x - 6 = 0 \\ x = 6 \\ and \\ x + 10 = 0 \\ x = - 10 \: \: \: (reject) \\ therefore \: present \: age \: of \: ram \: = 6 years$