#### Question

Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of this mother’s present age. What are their present ages?

#### Solution

Let Shobo’s age be *x* years. Therefore, his mother’s age will be 6*x* years.

According to the given question,

After 5 years Shobo's age = `"Shobo's mother's present age"/3``

`x + 5 = (6x)/3`

*x* + 5 = 2*x*

Transposing *x* to R.H.S, we obtain

5 = 2x − *x*

5 = x

6*x* = 6 × 5 = 30

Therefore, the present ages of Shobo and Shobo’s mother will be 5 years and 30 years respectively.

Is there an error in this question or solution?

Solution Shobo’S Mother’S Present Age is Six Times Shobo’S Present Age. Shobo’S Age Five Years from Now Will Be One Third of this Mother’S Present Age. What Are Their Present Ages? Concept: Some More Applications.