Two numbers are in the ratio of $2 : 5$ . If they differ by $15$ , find the numbers.

25

10

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- 25

10

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\frac{1}{25}

\frac{1}{10}

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None of the above.

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Solution

The correct option is B $25$ & $10$
Let the number be $2 x$ and $5 x$
$2 x - 5 x = - 15$
$⟹ - 3 x = - 15$
$∴ x = 5$
$∴ 2 x$ = $2 \times 5 = 10$ and $5 x$ = $5 \times 5 = 25$

The numbers are $10$ and $25$ .

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Similar questions

3 : 5

10

Two numbers are in the ratio 8 : 3. If they differ by 15, find the two numbers.
[2 MARKS]

Class	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$
Frequency	$2$	$3$	$10$	$1$	$4$

t_{5}, t_{10}

t_{25}

5^{t h}, 10^{t h}

25^{t h}

∣ ∣ ∣ ∣ \begin{matrix} t_{5} & t_{10} & t_{25} 5 & 10 & 25 1 & 1 & 1 \end{matrix} ∣ ∣ ∣ ∣

10 : 5, 10 : 25, 1 : 3, 19 : 25

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