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Q.

Two numbers are in the ratio $\frac{3}{8}$ . If the sum of the numbers is $165$ , then find the numbers.

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a

45, 120

b

65, 120

c

35, 130

d

75, 150

answer is A.

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Detailed Solution

Given, the ratio of two numbers is

\frac{3}{8}

and the sum of the numbers =

165

.
Let the numbers be

3 x

and

8 x

.
According to given statement,

3 x + 8 x = 165

\Rightarrow 11 x = 165

\Rightarrow x = 15

\Rightarrow 3 x = 3 \times 15

= 45

\Rightarrow 8 x = 8 \times 15

= 120

Therefore, the numbers are

45

and

120

.
Hence, the correct option is 1.

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