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Three numbers are in the ratio 3:9: 11 and their HCF is 29. Find the numbers.
Question

Three numbers are in the ratio 3:9: 11 and their HCF is 29. Find the numbers.

A.

84, 240, and 300

B.

58, 88, and 319

C.

144, 261, and 320

D.

87, 261, and 319

Correct option is D

Given:
Ratio of numbers = 3 : 9 : 11
HCF of numbers = 29
Formula Used:
If the HCF of numbers is h, and their ratio is a : b : c, then the numbers are:
×\times​ a, h ×\times​ b, h ×\times​ c
Solution:
Given ratio is 3 : 9 : 11, and HCF is 29.
The numbers are:
29 ×\times​ 3 = 87, 29 ×\times​ 9 = 261, 29 ×\times​ 11 = 319
Thus, the numbers are 87, 261, and 319.

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