Question: The ratio of the ages of two persons is 4: 7 and age of one of them is greater than that of the other by 30 yr. The sum of their ages is
Options:
A) 110 yr
B) 100 yr
C) 70 yr
D) 40 yr
Show Answer
Answer:
Correct Answer: A
Solution:
- Let the ages of two persons be $ 4x $ and $ 7x $ respectively.
According to the question,
$ 7x-4x=30 $
$ \Rightarrow $ $ 3x=30 $
$ \Rightarrow $ $ x=40 $
Age of first person $ =4\times 10=40yr $
Age of second person $ =7\times 10=70yr $
Sum of their ages $ =40+70=110yr $