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Select the correct answerThe 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?Options180140160150

Question

Select the correct answerThe 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?Options180140160150

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Solution

Let's solve this step by step:

  1. The ratio of the ages of two persons is 5:9. This means that if the age of the first person is 5x, the age of the second person is 9x.

  2. It is given that the age of one of them is greater than the other by 40 years. So, 9x - 5x = 40.

  3. Solving this, we get 4x = 40. Therefore, x = 10.

  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.

This problem has been solved

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