Question

If 2 /4 of a number exceeds 1/7 of the same number by 36 find the number
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Answer 1

Question

If 2 /4 of a number exceeds 1/7 of the same number by 36 find the number

Let the number be x

According to the question,

$\tt\frac{2}{4}x - \frac{1}{7}x = 36$

Now,

$\bf\frac{2}{4}x - \frac{1}{7}x = 36$

$\mapsto\bf\frac{2}{4}x - \frac{1}{7}x = 36$

$\mapsto\bf\frac{(2 \times 7) + (1 \times 4)}{28}x \: = 36$

$\mapsto\bf\frac{(14) + (4)}{28}x \: = 36$

$\mapsto\bf\frac{14 + 4}{28}x \: = 36$

$\mapsto\bf\frac{18}{28}x \: = 36$

$\mapsto\bf\frac{ \cancel18}{ \cancel28}x \: = 36$

$\mapsto\bf\frac{9}{ 14}x \: = 36$

$\mapsto\bf{9}x \: = 36 \times 14$

$\mapsto\bf{9}x \: = 504$

$\mapsto\bf \: x \: = \frac{504}{9}$

$\mapsto\bf \: x \: = 56 \tiny \tt{ans}$

Hence the value is x is 56