| Two-fifth of a number is two more than One-third of another number. If the sum of the two numbers is 16, what is their product? |
A) 30
B) 120
C) 60
D) 150
Correct Answer: C
Solution :
| Let the numbers be x and y, respectively. |
| According to the question, |
| \[x+y=16\] ... (i) |
| and \[\frac{2x}{5}-2=\frac{y}{3}\]\[\Rightarrow \]\[\frac{2x}{5}-\frac{y}{3}=2\] |
| \[\Rightarrow \] \[6x-5y=30\] ... (ii) |
| On solving Eqs. (i) and (ii), we get |
| \[x=10\]and \[y=6\] |
| \[\therefore \]Product of numbers \[=xy=10\times 6=60\] |
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