Question

one fourth of a number is increased by 7 and the result is multiplied by 3.thus, obtain 36 find the number.

Answer 1

Let the certain number be x.
One fourth of the number is =
$\frac{x}{4}$
Now increasing the number by 7 we get
$\frac{x}{4 } \: + \: 7$
Then multiplying the number by 3, we get
$\frac{3x }{4} + 21$
This is equal to 36.
$\frac{3x}{4} + 21 = 36$
$\frac{3x}{4} = 36 - 21 = 15$
$x = 15 \times \frac{4}{3} = 20.$
$x = 20$
Answer: x = 20
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