The ratio of two numbers is 3 : 5 and their sum is 72. Find the larger of the two numbers.
Explanation:
Let the numbers be 3k and 5k, where k is a constant.
Sum of 3k and 5k is 8k.
Now 8k = 72
⇒ k = 9
∴ The greater number is 5 × 6 i.e., 45.
Alternately,
Larger of the two numbers = 5/8 × 72 = 45.
Hence, option (b).
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