Question

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

Answer 1

7 is the required answer.

CONSIDER:

• Let present age of Rohan be x
• Let present age of Rohan's mother be y.
• Rohan's age after three years be x + 3
• Rohan's mother age after three years will be y + 3

GIVEN:

• Rohan's mother is 26 years older than him.
• y = 26 + x

• The product of their ages 3 years from now will be 360.
• (x+3) (y+3) = 360

TO FIND:

Rohan's Present age, x

SOLUTION:

Substitute y = 26 + x in (x+3) (y+3) = 360

$(x + 3)(26 + x + 3) = 360 \\ \\ (x + 3)(29 + x) = 360 \\ \\ 29x + (29 \times 3) + {x}^{2} + 3x = 360 \\ \\ {x}^{2} + 29x + 3x + 87 = 360 \\ \\ {x}^{2} + 32x + 87 - 360 = 0 \\ \\ {x}^{2} + 32x - 273 = 0 \\ \\ {x}^{2} + 39x - 7x - 273 = 0 \\ \\ x(x + 39) - 7( x + 39) = 0 \\ \\ (x - 7)(x + 39) = 0$

We get two solutions of x

1.

$x - 7 = 0 \\ \\ x = 7$

2.

$x + 39 = 0 \\ \\ x = - 39$

Since age cannot be negative, this solution of x = -39 is not possible.

ANSWER:

So the present age of Rohan is 7

Rohan is 7 years old now.

Present age of his mother , y = 7 +26 = 33.

Rohan's mother is 33 years old now.

Answer 2

Answer:

this is your ans

I hope it helps to you