A) 30, 50
B) 20,30
C) 40, 60
D) 16, 24
Correct Answer: C
Solution :
Let the present ages of \[A\] and \[B\] are \[x\] and \[y\] years respectively \[\therefore \] \[\frac{x-10}{y-10}=\frac{3}{5}\] ? (i) or \[5x-50=3y-30\] ? (ii) and \[\frac{x}{y}=\frac{2}{3}\] or \[3x=2y\] or \[y=\frac{3x}{2}\] Putting the value of y in equation (i), we get \[5x-50=\frac{9x}{2}-30\] \[10x-100=9x-60\] or \[x=40\] \[\therefore \] \[y=\frac{3\times 40}{2}=60\]You need to login to perform this action.
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