The two numbers are in the ratio of $3 : 5$ . If they differ by $10$ , find the numbers.

15

and

5

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15

and

25

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10

and

20

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20

and

30

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Solution

The correct option is B $15$ and $25$
Let the numbers be $3 x$ and $5 x$ .
$\Rightarrow 5 x - 3 x = 10$
$\Rightarrow 2 x = 10$
$∴ x = 5$
First Number : $3 x = 3 \times 5 = 15$
Second number: $5 x = 5 \times 5 = 25$
Therefore, the two numbers are $15$ and $25$ .

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15

$C I$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$
$f$	$5$	$12$	$3$	$11$	$9$

R s

30

20 - 25

25 - 30

Age in Years	:	5-10	10-15	15-20	20-25
Frequency	:	10	15	20	5

Height (ft)	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$
No. of trees	$4$	$3$	$10$	$8$	$5$

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