Discussion

Question:

Two numbers are in the ratio 5 : 6. If 8 is added to both, their ratio changes to 3 : 4. What is the value of the larger number?

Explanation:

Let the numbers be 5x and 6x respectively.

Now, $\frac{5 x + 8}{6 x + 8} = \frac{3}{4}$

⇒ 20x + 32 = 18x + 24

⇒ 2x = 8

⇒ x = 4

∴ The larger number is 6x = 24

Hence, option (b).

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