Question

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

Answer 1

Step-by-step explanation:

Let Rohan present age be x years. Then, his mother's age is (x+26) years.

Rohan's age after 3 years =(x+3) years

After 3 years the age of Rohan's mother=(x+26+3)years=(x+29) years

It is given that after 3 years from now, the product of Rohan's and his mother's ages will be 360 years

∴(x+3)(x+29)=360⇒x

2

+32x−273=0....answer

This is the required equation.

∴(x+39)(x−7)=0

∴x=−39 and x=7

∴x=7.......(∵ x can not be negative)

∴ Mother's present age=7+26=33....answer

Answer 2

Given:

• Rohan's mother is 26 years old than him.
• The product of their ages 3 years from him will be 360.

To Find:

• Rohan's present age.

Solution:

Let the Rohan's present age be x.

And his mother's age be x + 26.

According to the question:-

→ (x + 3)(x + 26 + 3) = 360

→ (x + 3)(x + 29) = 360

→ x² + 29x + 3x + 87 = 360

→ x² + 32x = 360 - 87

→ x² + 32x - 273 = 0

By splitting middle term we get:

→ x² + 39x - 7x - 273 = 0

→ x(x + 39) - 7(x + 39) = 0

→ (x - 7) (x + 39) = 0

→ x = 7 or x = -39

As we know we can't calculate age in negative years.

So,

→ x = 7

Hence,

• Rohan's present age = 7 years
• Rohan's mother age = 26 + 7 = 33 years.