the sum of the father’s age and twice the age of his son is 70.if you double the age of the father and added to the age of the son the sum is 95. find their present ages

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Let the present ages of father and son be x years and y years respectively. According to the first condition, x + 2y = 70 …(i) According to the second condition, 2x + y = 95 …(ii) Multiplying equation (i) by 2, we get 2x + 4y = 140 …(iii) Subtracting equation (ii) from (iii), we get ∴ y = 453453 = 15 Substituting y = 15 in equation (i), we get x + 2(15) = 70 ∴ x + 30 = 70 ∴ x = 70 – 30 ∴ x = 40 ∴ The present ages of father and son are 40 years and 15 years respectively.Read more on Sarthaks.com – https://www.sarthaks.com/842205/the-sum-fathers-age-and-twice-the-age-his-double-the-age-the-father-and-add-the-age-his-son-the

Answer:Let the present ages of father and son be x years and y years respectively. According to the first condition, x + 2y = 70 …(i) According to the second condition, 2x + y = 95 …(ii) Multiplying equation (i) by 2, we get 2x + 4y = 140 …(iii) Subtracting equation (ii) from (iii), we get ∴ y = 453453 = 15 Substituting y = 15 in equation (i), we get x + 2(15) = 70 ∴ x + 30 = 70 ∴ x = 70 – 30 ∴ x = 40 ∴ The present ages of father and son are 40 years and 15 years respectively.Read more on Sarthaks.com – https://www.sarthaks.com/842205/the-sum-fathers-age-and-twice-the-age-his-double-the-age-the-father-and-add-the-age-his-son-the

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