If (3a – 5b) : (2a – 3b) = 5 : 2 , then a : b is equal to ?
Answer & explanation
Correct answer: option 3
⇒ \(\frac{3a - 5b}{2a - 3b}\) = \(\frac{5}{2}\)
⇒ 6a - 10b = 10a - 15b
⇒ 4a = 5b
⇒ \(\frac{a}{b}\) = \(\frac{5}{4}\) or a : b = 5 : 4
If (3a – 5b) : (2a – 3b) = 5 : 2 , then a : b is equal to ?
Correct answer: option 3
⇒ \(\frac{3a - 5b}{2a - 3b}\) = \(\frac{5}{2}\)
⇒ 6a - 10b = 10a - 15b
⇒ 4a = 5b
⇒ \(\frac{a}{b}\) = \(\frac{5}{4}\) or a : b = 5 : 4