Question

Rohan,s mother is 26 years older than him.the product of the ages( in years) 3 years from now will be 360 we would like to find Rohan,s present age ​

Answer 1

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 2

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