The ratio of two numbers A and is 5 : 8. If 5 is added to each of A and B, then the ratio of A and B becomes 2 : 3. The sum of A and B is:
Answer & explanation
Correct answer: option 3
A : B
Original 5 : 8
New 2 : 3
__________
+5 +5
⇒ $\frac{5R+5}{8R+5} = \frac{2}{3}$
Using cross - multiplication method,
16r - 15r = (5 x 3) -(5 x 2)
⇒ r = 5
Sum of A and B = 13r = 65