If a : b : c is 2 : 5 and b : c is 3 : 7 then a : c is?
- 3 : 34
- 4 : 35
- 6 : 35
- None of these
Explanation
Given:
a : b : c = 2 : 5 (let's assume a common multiple for b and c to match both ratios)
b : c = 3 : 7
To match both ratios, let's find the LCM for b in both ratios.
Given a : b = 2 : 5 and b : c = 3 : 7, let's make the ratios comparable by finding a common multiple for b.
For a : b = 2 : 5 and b : c = 3 : 7,
let's scale a : b : c = 2_3 : 5_3 : 5*7 = 6 : 15 : 35
Now b : c = 15 : 35 which simplifies to 3 : 7.
Given a : b : c = 6 : 15 : 35
a : c = 6 : 35
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