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Find a number, such that one-fourth of the number is 3 more than 7. -

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Question

Find a number, such that one-fourth of the number is 3 more than 7.

Sum

Solution

Let us take the unknown number to be y; one-fourth of y is `y/4`.

This number `y/4` is more than 7 by 3.

Hence we get the equation for y as `y/4 – 7 = 3`.

To solve this equation, first transpose 7 to RHS We get,

`y/4 = 3 + 7 = 10`.

We then multiply both sides of the equation by 4, to get

`y/4 xx 4 = 10 xx 4`

y = 40........(the required number)

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