Question

The ages of son and mother will be,if the mother is 26 years older than son,and 3 years later the product of thei ages will be 360.​

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