Solveeit Logo

Question

Mathematics Question on Equations

A's age is 16\frac{1}{6}th of B's age. B's age will be twice of C's age after 10 years. If C's eighth birthday was celebrated two years ago, then the present age of A must be

A

5 years

B

10 years

C

15 years

D

20 years

Answer

5 years

Explanation

Solution

The correct option is (A): 5 years
Let Age of B = 6x6x years, and age of A =xx years
and C' present age = 10 years
So, Acc. to ques:
6x+10=2×(10+10)6x + 10 = 2 × (10 + 10)
6x=306x = 30
x=5x=5
\therefore Present age of A= 5 years.