Question

Rohan mother's is 26 years older than him. The product of their ages 3 years from now will be 360 . We would like to find the present age of rohan.

Answer 1

Answer:

7 years

Step-by-step explanation:

Let Rohan's age be x.

Rohan's mother's age = x + 26

Rohan's age 3 years from now = x + 3

Rohan's mother's age 3 years from now = x+26+3 = x + 29

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

x² + 3x + 29x + 87 = 360

x² + 32x + 87 - 360 = 0

x² + 32x - 273 = 0

x² + 39x - 7x - 273 = 0

x(x+32) - 7(x+32) = 0

(x-7) (x+32) = 0

Since the product is 0, one of the terms must be equal to 0.

So either x - 7 = 0

or x+ 32 = 0

Therefore x = 7 or x = -32

Since age cannot be in negative, x must be equal to 7

Ans. Rohan's present age is 7 years.

Answer 2

Answer:

Rohan's age = 7 years

Step-by-step explanation:

Let,

Rohan's age = x years

Therefore,

His mothers age = ( x + 26 ) years

Now,

3 years later,

Rohan's age = ( x + 3 ) years

And

His mothers age = ( x + 26 + 3 )

= ( x + 29 ) years

ATQ...

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

Using: ( x + a ) ( x + b ) =

x^2 + x( a + b ) + ab

So

x^2 + x( 3 + 29 ) + 3× 29 = 360

x^2 + 32x + 87 = 360

x^2 + 32x + 87 - 360 = 0

x^2 + 32x - 273 = 0

Hope it helps!!!

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