Two numbers are in the ratio 8:5. If eleven is subtracted from each of them, the ratio becomes 7:3. What is the product of the numbers?

A400

B640 ✓ Correct

C560

D750

Correct answer: (B) 640

Explanation

The product is 640.

Let the numbers be 8x and 5x.

Then (8x - 11)/(5x - 11) = 7/3.

Cross-multiplying: 24x - 33 = 35x - 77, so x = 4.

Numbers are 32 and 20; product = 32 x 20 = 640.

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