CUET CUET General Test 2024 - The sum of three numbers is 136. If the ratio between the first number and the second number is 2 : 3 and that between the second and the third number is 5 : 3, then the first number is: | PYQs + Solutions

CUET General Test 2024

Arithmetic

Ratio, Proportion & Variation

Easy

The sum of three numbers is $136$ . If the ratio between the first number and the second number is $2 : 3$ and that between the second and the third number is $5 : 3$ , then the first number is:

Correct Option: 2

Ratio of first and second number

=2:3

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Ratio of second and third number

=5:3

We need to have the same value of the second number in both the ratios:

To get this, we will multiply the first ratio by 5 and the second ratio by 3.

The final ratio

\rightarrow

A:B:C = 10x : 15x : 9x

According to the question:

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10x+15x+9x=136

\newline

34x=136

\newline

x=4

First Number

= 10x = 10 \times 4 = 40