Question

the sum of two rational number is 4/5 if one number is 2/15THEN FIND THE OTHER​

Answer 1

$\Huge{\mathscr{\fcolorbox{navy}{orange}{\color{darkblue}{Question}}}}$

• The sum of two rational number is 4/5. If one number is 2/15, then find the other.

Given :-

➪ Sum of the two rational numbers = 4/5

➪ One of the number = 2/15

To find :-

➪ The other number.

$\underbrace\mathscr\red{Solution:-}$

➪ Let the other number be x.

As per question,

$➪ Sum \: of \: the \: two \: rational \: numbers = \frac{4}{5} \\ ➪ \: x + \frac{2}{15} = \frac{4}{5} \\ ➪ \: x \: = \frac{4}{5} - \frac{2}{15} \\ ➪ \: x \: = \frac{4 \times 3}{5 \times 3} - \frac{2}{15} \\ ➪ \: x = \frac{12 - 2}{15} \\ ➪ \: x = \frac{10}{15} \\ x = \frac{2}{3}$

Hence, the other number is 2/3.

To verify :-

$➪ \frac{2}{15} + \frac{2}{3} = \frac{4}{5} \\ ➪ \frac{2}{15} + \frac{2 \times 5}{3 \times 5} = \frac{4}{5} \\ ➪ \frac{2 + 10}{15} = \frac{4}{5} \\ ➪ \frac{12}{15} = \frac{4}{5} \\ ➪ \frac{4}{5} = \frac{4}{5}$

➪ L. H. S. = R. H. S.

Hence proved.

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