1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. What is Rohan's present age?

A

39

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B

7

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

14

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D

10

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is B 7 Let's take Rohan's age = x years Hence, his mother's age = x+26 3 years from now; Rohan's age = x+3 Age of Rohan's mother will =x+26+3=x+29 The product of their ages 3 years from now will be 360. (x+3)(x+29)=360 ⇒x2+29x+3x+87=360 ⇒x2+32x+87−360=0 ⇒x2+32x−273=0 ⇒x2+2×x×16+256=273+256 ⇒(x+16)2=529 ⇒x+16=±23 ⇒x=−39 or x=7 As age cannot be in negative value, Rohan's age = 7 years Mother's age = 7+26=33 years

Suggest Corrections
1
Join BYJU'S Learning Program
Related Videos
Applications of Second Degree Equations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program