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andriy [413]
4 years ago
7

One-fourth of a number is 3 more than one-seventh of the same number. What is the number?

Mathematics
2 answers:
mezya [45]4 years ago
6 0

<u>Answer: </u>

One-fourth of a number is three more than one-seventh of same number.The required number is 28.

<u>Solution: </u>

Let’s assume require number be x

One fourth of a number = \frac{1}{4} \times \text { the number }

=\frac{1}{4} x

=\frac{x}{4}

One seventh of a number = \frac{1}{7} \times \text { the number }

=\frac{1}{7} x

=\frac{x}{7}

Given that one fourth of a number is 3 more than one seventh of a number

So in other words if we add 3 to one seventh of a number, we will get one fourth of a number.

\frac{x}{7}+3=\frac{x}{4}

\frac{x+21}{7}=\frac{x}{4}

4(x+21) = 7x  

4x + 84 = 7x

84 = 7x – 4x  

3x = 84  

x = 28

Hence required number is 28.

uysha [10]4 years ago
4 0
I set it up as an equation. 1/4x = 1/7x + 3. After you solve it out, it’s 28.
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