Question

Two seventh of a number is two less than half of another number. If the sum of the two numbers is 15, what is their product?

• A. 72
• B. 64
• C. 54
• D. 56
• E. 63

Answer 1

The correct option is D 56

Let the numbers be x and y
$\therefore \frac{2}{7}x=\frac{1}{2}y-2\Rightarrow \frac{2x}{7}=\frac{y-4}{2}\Rightarrow 4x=7y-28Givenx+y=15\therefore 4(15-y)=7y-28\Rightarrow 60-4y=7y-28\Rightarrow -11y=-88\Rightarrow y=8\therefore x=15-8=7\therefore Product=xy=8\times 7=56$