The ratio of the ages of Alpha and Beta is 2 : 5. If the sum of their ages is 294, find the difference between their ages.
126
126 is correct.
When two quantities are in the ratio 2 : 5, they can be written as 2 and 5 parts of a common unit.
Let the ages be \(2k\) and \(5k\). Their sum gives \(7k=294\), so \(k=42\).
Difference of ages \(=5k-2k=3k=3\times 42=126\).
Important Questions from Problem on Age
The ratio of present ages of Neelam and Rajni is 6 : 7. After four years, their ages will be in the ratio of 8 : 9. What is the present age of Rajni?
The ratio of a father's age to his son's age is 3 ∶ 2 The product of the numbers representing their age is 486. The ratio of their ages after 5 years will be:
X said to Y, "At the time of your birth I was twice as old as you are at present." If the present age of X is 42 years, then consider the following statements:
1. 8 years ago, the age of X was five times the age of Y.
2. After 14 years, the age of X would be two times the age of Y.
Which of the above statements is/are correct?
The total of the ages of Niraj, Umesh and Dhiraj is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4 respectively. What is the present age of Dhiraj ?
A father is nine times as old as his son and the mother is eight times as old as the son. The sum of the father's and the mother's age is 51 years. What is the age of the son ?
