If 6a - 7b : 5a - 8b = 5 : 6, then a : b is equal to
2025
If 6a - 7b : 5a - 8b = 5 : 6, then a : b is equal to
- A.
1 : 8
- B.
2 : 11
- C.
3 : 19
- D.
7 : 5
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Correct answer: B
6a - 7b : 5a - 8b = 5 : 6
⇒ (6a - 7b)/(5a - 8b) = 5/6
⇒ 6 × (6a – 7b) = 5 × (5a – 8b)
⇒ 36a – 42b = 25a – 40b
⇒ 36a – 25a = 42b – 40b
⇒ 11a = 2b
⇒ a/b = 2/11
∴ a : b = 2 : 11