Quant Exam > Quant Questions > If 4a = 5 b and 7b = 9c then a : b : c = ?a)4...
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If 4a = 5 b and 7b = 9c then a : b : c = ?
- a)45 : 36 : 28
- b)44 : 33 : 28
- c)28 : 36 : 45
- d)36 : 28 : 45
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If 4a = 5 b and 7b = 9c then a : b : c = ?a)45 : 36 : 28b)44 : 33 : 28...
The correct option is A.
Given that 4a = 5b
∴ a/b = 5/4
Also 7b = 9c
∴ b/c = 9/7
∴ a : b = 5 : 4 = (5 x 9) : (4 x 9) = 45 : 36
and b : c = 9 : 7 = (9 x 4) : (7 x 4) = 36 : 28
∴ a : b : c = 45 : 36 : 28
Given that 4a = 5b
∴ a/b = 5/4
Also 7b = 9c
∴ b/c = 9/7
∴ a : b = 5 : 4 = (5 x 9) : (4 x 9) = 45 : 36
and b : c = 9 : 7 = (9 x 4) : (7 x 4) = 36 : 28
∴ a : b : c = 45 : 36 : 28
Most Upvoted Answer
If 4a = 5 b and 7b = 9c then a : b : c = ?a)45 : 36 : 28b)44 : 33 : 28...
Given that 4a = 5b
∴ a/b = 5/4
Also 7b = 9c
∴ b/c = 9/7
∴ a : b = 5 : 4 = (5 x 9) : (4 x 9) = 45 : 36
and b : c = 9 : 7 = (9 x 4) : (7 x 4) = 36 : 28
∴ a : b : c = 45 : 36 : 28
∴ a/b = 5/4
Also 7b = 9c
∴ b/c = 9/7
∴ a : b = 5 : 4 = (5 x 9) : (4 x 9) = 45 : 36
and b : c = 9 : 7 = (9 x 4) : (7 x 4) = 36 : 28
∴ a : b : c = 45 : 36 : 28
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Community Answer
If 4a = 5 b and 7b = 9c then a : b : c = ?a)45 : 36 : 28b)44 : 33 : 28...
A:b = 5:4, b:c= 9:7
Also, a:b = 45:36 (multiply by 9)
And b:c = 36:28 (multiply it by 4)
Then a:b:c = 45:36:28
Also, a:b = 45:36 (multiply by 9)
And b:c = 36:28 (multiply it by 4)
Then a:b:c = 45:36:28
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