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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. - ICSE Class 10 - Mathematics

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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?

APPEARS IN

 Frank Solution for Frank Class 10 Mathematics Part 2 (2016 to Current)
Chapter 9: Ratio and Proportion
Exercise 9.1 | Q: 27

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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.
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