The ratio of ages of two persons is 5 : 9 and the age of one of them is greater than the other by 40 years. The sum of their ages in year is?
Question
The ratio of ages of two persons is 5 : 9 and the age of one of them is greater than the other by 40 years. The sum of their ages in years is?
Solution
Let's solve this step by step:
Step 1: Let's assume the ages of the two persons are 5x and 9x.
Step 2: According to the problem, the age of one of them is greater than the other by 40 years. So, we can write the equation as 9x - 5x = 40.
Step 3: Solving this equation, we get 4x = 40. Therefore, x = 10.
Step 4: Now, we can find the ages of the two persons. The age of the first person is 5x = 510 = 50 years and the age of the second person is 9x = 910 = 90 years.
Step 5: The sum of their ages is 50 years + 90 years = 140 years.
So, the sum of their ages is 140 years.
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