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If A: B= 5: 7 and B: C= 6: 11, then A: B: C=?

(a)30: 42: 55 (b)30: 42: 77 (c)35: 49: 66 (d)none of these

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(b) 30: 42: 77

Because,

A: B = 5: 7 and B: C = 6: 11

HCF of 5 and 7 is 1

= (5/7)

Then,B: C= (6 ÷ 6)/ (11 ÷ 6)

B: C = 1: (11/6)

B: C = 7: (77/6) … [Multiply both by 7 we get]

∴ A: B: C = 5: 7: (17/6)

A: B: C = 30: 42: 77

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