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The ratio of two numbers is 5: 6. If their product is 1920, then what is the sum of both the numbers?
Question

The ratio of two numbers is 5: 6. If their product is 1920, then what is the sum of both the numbers?

A.

77

B.

99

C.

84

D.

88

Correct option is D

Given:
Ratio = 5:6; Product = 1920.
Solution:

Let numbers be 5k and 6k; Product = (5k) × (6k).
Product = 30k2k^2​ = 1920
k2k^2​ = 192030\frac{1920}{30}​ = 64
k = 8
Numbers = 5 × 8 = 40, 6 × 8 = 48
Sum = 40 + 48 = 88
Answer: (d) 88

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