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 $=2:3$

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:

$10x+15x+9x=136$

$34x=136$

$x=4$

First Number $= 10x = 10 \times 4 = 40$

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Solution

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CUET General Test Past Year Questions (Topic-Wise)

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: