SSC CHSL 6 Mar 2018 Shift 1 Paper

Section: English Language

Question : 3 of 106

Marks: +1, -0

Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?

Validate

Solution:

Let the numbers be

5x

and

4x

According to ques,
⇒

(5x)^ 3 − (4x)^ 3 = 61

⇒

125x ^3 − 64x^ 3 = 61x ^3 = 61

⇒

x^ 3 = 61/61 = 1

⇒

x = √^3 1 =1

∴ Larest number =

5 × 1 = 5

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