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CUET
General Test
Numerical Ability
Ratios
If (5a – 3b) : (4a – 2b) = 2 : 3, then a : b is equal to
3 : 4
7 : 5
2 : 3
5 : 7
⇒ \(\frac{5a - 3b}{4a - 2b}\) = \(\frac{2}{3}\)
⇒ 15a - 9b = 8a - 4b
⇒ 7a = 5b
⇒ \(\frac{a}{b}\) = \(\frac{5}{7}\) or a:b = 5:7