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?Options160150180140
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 year is?Options160150180140
Solution
Let's solve this step by step:
Step 1: Let's assume the age of the younger person is 5x and the age of the older person is 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: The sum of their ages is 5x + 9x = 14x. Substituting the value of x, we get 14*10 = 140.
So, the sum of their ages is 140 years.
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