Hema's age is 5 years more than twice Hari's age. Suresh's age is 13 years less than 10 times Hari's age. If Suresh is 3...

Question

Hema's age is 5 years more than twice Hari's age. Suresh's age is 13 years less than 10 times Hari's age. If Suresh is 3 times as old as Hema, how old is Hema?

A. 14  B. 17  C. 18  D. 19

Accepted Answer

Hema is 19 years old. Three people — Hari, Hema, and Suresh — have ages that are all connected through Hari's age as the base. We set up a linear equation from the condition that Suresh's age equals three times Hema's age, and solve for Hari's age first, then find Hema's age. This is a classic system-of-equations word problem where one variable (Hari's age) appears in all three relations.