CTET 2 Math and Science 21 Jan 2024 Paper

Question : 54 of 150

Marks: +1, -0

Three numbers are in the ratio 2 : 3 : 4 and the sum of their cubes is 33957. What is the sum of the three numbers ?

Solution:

Let's denote the three numbers as

2 x, 3 x

, and

4 x

, since they are in the ratio

2: 3: 4

\;(2 x)^3+(3 x)^3+(4 x)^3=33957

\;8 x^3+27 x^3+64 x^3=33957

\;99 x^3=33957

\;x^3=33957 \/ 99=343

\;x=(343)^{1 \/ 3}=7

First Number

2 x =14

, Second Number

=3 x =21

, Third Number

=4 x =28

Sum of the Number

=14+21+28=63

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