Question

(ii) 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.
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Answer 1

Step-by-step explanation:

It is given that after 3 years from now, the product of Rohan's and his mother's ages will be 360 years. Factorization of the above quadratic equation using formula. Since age cannot be negative. Hence, Rohan's age is 7 years.

Answer 2

Answer:

Rohan is 7 years old

Step-by-step explanation:

Let Rohan's age be x and that of his mother's be x+26.

From the given conditions, we get,

(x+3) × (x+26+3) = 360

(x+3) × (x+29) = 360

x² + 29x +3x + 87 = 360

x² + 32x = 273

x² + 32x - 273 = 0

x² + 39x -7x - 273 = 0

x(x+39) -7 (x+39) = 0

(x-7)(x+39) = 0

∴ x=7,x= -39

Since x is Rohan's age and age cannot be negative,

we take x as 7.

∴ Rohan's present age = 7

Peace,

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