SSC CHSL 7 Mar 2018 Shift 2 Paper

Section: English Language

Question : 8 of 100

Marks: +1, -0

Of three positive numbers, the ratio of first and second is 5: 2, ratio of second and third is 5: 4. The product of first and third is 1800. What is the sum of the three numbers?

Validate

Solution:

Let the numbers be

x, y, z

Thus,

x:y=5:2

-----------(i)
and

y;z=5:4

-------------(ii)
Multiplying equation (i) by 5 and equation (ii) by 2
⇒

x : y : z = 25 : 10 : 8

Let

x=25k,y=10k

and

z=8k

⇒ Product =

25k × 8k = 1800

⇒

k^2 =1800/ 200 =9

⇒

k = √9 = 3

∴ Sum of three numbers =

25k + 10k + 8k = 43k

43 × 3 = 129

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