Find the number which when multiplied by 7 is increased by 78. - Vidyadip

Question

Find the number which when multiplied by 7 is increased by 78.

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Answer

Let the required number be ‘x’.
Thus, when multiplied by 7, it gives 7x, and x increases by 78.
7x = x + 78
Transposing x to L.H.S., we get
7x - x = 78
6x = 78
Dividing both sides by 6, we get
$\frac{6\text{x}}{6}=\frac{78}{6}$
$\text{x}=13$
Thus, the required number is 13.

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