Question: 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?
Options:
A) 30
B) 120
C) 60
D) 150
Show Answer
Answer:
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 $