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?Options180140150160
Question
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?Options180140150160
Solution
Let's solve this step by step:
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The ratio of the ages of two persons is 5:9. This means that if the age of the younger person is 5x, the age of the older person is 9x.
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It is given that the age of one of them is greater than the other by 40 years. So, 9x - 5x = 40. Solving this, we get 4x = 40, which gives x = 10.
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Now, substituting x = 10 in 5x and 9x, we get the ages of the two persons as 50 years and 90 years respectively.
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The sum of their ages is 50 + 90 = 140 years.
So, the correct option is 140.
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