If (4a – 3b) : (5a – 2b) = 3 : 4 , then a : b is equal to ?
Answer & explanation
Correct answer: option 4
⇒ \(\frac{4a - 3b}{5a - 2b}\) = \(\frac{3}{4}\)
⇒ 16a - 12b = 15a - 6b
⇒ a = 6b
⇒ \(\frac{a}{b}\) = \(\frac{6}{1}\) or a : b = 6 : 1
If (4a – 3b) : (5a – 2b) = 3 : 4 , then a : b is equal to ?
Correct answer: option 4
⇒ \(\frac{4a - 3b}{5a - 2b}\) = \(\frac{3}{4}\)
⇒ 16a - 12b = 15a - 6b
⇒ a = 6b
⇒ \(\frac{a}{b}\) = \(\frac{6}{1}\) or a : b = 6 : 1