Question

The product of Mohan's age 5 years ago and 9 years later is 15, then the present age of Mohan is​

Answer 1

Answer:

Mohan's age = 6

Step-by-step explanation:

Let Mohan's present age be x.

Mohan's age 5 years ago = x - 5

Mohan's age 9 years later = x + 9

Product of Mohan's age 5 years ago and 9 years later is 15.

∴ (x-5)(x+9) = 15

x² -5x + 9x - 45 = 15

x² +4x - 45 - 15 = 0

x² + 4x - 60 = 0

x² + 10x - 6x - 60 = 0

x(x+10) - 6(x+10) = 0

(x+10)(x-6) = 0

∴ x = -10 and 6

Now, negative age is not possible so therefore Mohan's age is 6 years.