A) 27
B) 36
C) 48
D) 64
Correct Answer: C
Solution :
Ratio of numbers\[=1\frac{1}{2}:2\frac{2}{3}\] \[=\frac{3}{2}:\frac{8}{3}=9:16\] Let the numbers are 9x and 16x. According to question, \[\frac{9x+15}{16+15}=\frac{5/3}{5/2}\] \[\Rightarrow \] \[\frac{9x+15}{16+15}=\frac{2}{3}\] \[\Rightarrow \] \[27x+45=32x+30\] \[\Rightarrow \] \[5x=15\] \[\Rightarrow \] x = 3 \[\therefore \] The greater number \[=16\times 3=48\]You need to login to perform this action.
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