How old will be the Raju if ratio of his age and one of his twin grandsons’ is 11:2 and average age of his and his both grandsons is 50 years?72 years110 years75 years150 years
Question
How old will be the Raju if ratio of his age and one of his twin grandsons’ is 11:2 and average age of his and his both grandsons is 50 years?72 years110 years75 years150 years
Solution
Let's denote Raju's age as R and his grandson's age as G.
From the problem, we know that:
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The ratio of Raju's age to his grandson's age is 11:2. This can be written as R/G = 11/2.
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The average age of Raju and his two grandsons is 50 years. Since there are three people, the total age is 3*50 = 150 years. This can be written as R + 2G = 150.
Now we can solve these two equations step by step.
Step 1: From the first equation, we can express R as R = 11/2 * G.
Step 2: Substitute R in the second equation, we get 11/2 * G + 2G = 150.
Step 3: Simplify the equation, we get 5.5G + 2G = 150, which leads to 7.5G = 150.
Step 4: Solve for G, we get G = 150 / 7.5 = 20.
Step 5: Substitute G = 20 into the first equation, we get R = 11/2 * 20 = 110.
So, Raju will be 110 years old.
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