The present age of two persons A and B are 36 and 50 years respectively. If after x years the ratio of their age will be 3 : 4, then the value of x is?
Answer & explanation
Correct answer: option 2
Ratio of present age of A and B = 36 : 50 = 18 : 25 *(Where 1R = 2)*
After x years ratio will be = (18R + x) : (25R + x)
ATQ,
⇒ \(\frac{18R\;+\;x}{25R\;+\;x}\) = \(\frac{3}{4}\)
⇒ 72R + 4x = 75R + 3x
⇒ 3R = x
⇒ x = 3 × 2 = 6 (1R = 2)
OR
A B
36 : 50
+6 +6 (according to option)
42 56
3 : 4 ← proof
Hence, option (2) → 6