#### Question

The present age of two persons are in the ratio 4: 3. Nine years hence their ages will be in the ratio 23: 18. Find their present ages.

#### Solution

Let present ages be 4x and 3x.

`(4 "x" + 9)/(3"x" + 9) = 23 /18`

⇒ 72x + 162 = 69x + 207

⇒ 3x = 45

⇒ x = 15

∴ 3 x = 45

4x = 60

Hence, their present ages are 60 years and 45 years .

Is there an error in this question or solution?

Solution The Present Age of Two Persons Are in the Ratio 4: 3. Nine Years Hence Their Ages Will Be in the Ratio 23: 18. Find Their Present Ages. Concept: Ratio and Proportion Example.