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the ratio of present age of Ramesh and Mahesh is 5:7 . After 4 years the ratio of their age will be 3:7 . Find out their present age. |
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Answer» ✬ Ramesh age = 20 Years ✬ ✬ Mahesh age = 28 Years ✬ Step-by-step explanation: Given: Ratio of present ages of Ramesh and Mahesh is in ratio 5 : 7. After 4 years their ages will be in ratio 3 : 4. To Find: What is the present ages of both ? Solution: LET X be the common in given ratio. THEREFORE, ➼ Ramesh's age = 5x years ➼ Mahesh's age = 7x years [ Now after 4 years their ages will be ] ➫ Ramesh age = 5x + 4 years ➫ Mahesh age = 7x + 4 years A/q After 4 years their ages will be in ratio 3 : 4 (5x + 4) : (7x + 4) = 3 : 4 (5x + 4)/(7x + 4) = 3/4 4(5x + 4) = 3(7x + 4) 20x + 16 = 21x + 12 20x – 21x = 12 – 16 –x = – 4 x = 4 So, Present ages are ➭ Ramesh age = 5x = 5(4) = 20 years ➭ Mahesh age = 7x = 7(4) = 28 years Hope this helped ! |
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