A student was asked to find 5/8 of a number. By mistake he found 8/5 of it, and his answer was 351 more than the correct one. The number is:

Question

Accepted Answer

360. The excess is (8/5 − 5/8)x = (64 − 25)/40 × x = 39x/40. So 39x/40 = 351 → x = 351 × 40/39 = 360. (Check: 8/5 × 360 = 576 and 5/8 × 360 = 225; 576 − 225 = 351.)

A student was asked to find 5/8 of a number. By mistake he found 8/5 of it, and his answer was 351 more than the correct one. The number is:

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