Question

One fourth of a number exceeds its one seventh by 24. What is the number?

Answer 1

Let the number be ‘x’.

According to the conditions given one by four of ‘x’ is greater than one by seven of ‘x’ by 24.

Which means if we add 24 to one by seven of ‘x’ we get one by four of ‘x’.

x/4 = x/7 + 24

x/4 - x/7 = 24

(7x - 4x)/7(4) = 24

3x/28 = 24

x = 28(24)/3

x = 8(28)

x = 224

You can verify this result!

One by four of 224 is 56

One by seven of 224 is 32

Hope it helps,

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