Question

A number exceeds its four-sevenths by 18. Find the number.​

Answer 1

A number exceeds its four-sevenths by 18. Find the number.

Let the number be x

$\mathtt{x = \frac{4}{7}x + 18 } \\ \\\implies\mathtt {x - \frac{4}{7} = 18 } \\ \\ \implies\mathtt{ \frac{7x - 4x}{7} = 18 } \\ \\ \implies\mathtt{ \frac{3x}{7} = 18} \\ \\ \implies\mathtt{x = 18 \times \frac{7}{3} } \\ \\ \implies\mathtt{x = 42 \: ans}$

The number is 42 ans

Answer 2

Here’s your answer:
Let the number be x

Given:
x = 4/7x + 18

x - 4x/7 = 18

Taking lcm = 7

7x/7 - 4x/7 = 18

7x - 4x/7 = 18

3x/7 = 18

3x = 18 x 7

3x = 126

x = 126/3

x = 42

So answer is 42

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