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The ratio of present ages of Jay and Prajay is 6: 7. Rahul is 4 years older than Jay and 3 years younger than Prajay. Find the sum of the present ages of all three?Group of answer choices137130142133

Question

The ratio of present ages of Jay and Prajay is 6: 7. Rahul is 4 years older than Jay and 3 years younger than Prajay. Find the sum of the present ages of all three?Group of answer choices137130142133

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Solution

Let's solve this step by step:

Step 1: Let's assume the present age of Jay as 6x and Prajay as 7x.

Step 2: According to the problem, Rahul is 4 years older than Jay and 3 years younger than Prajay. So, we can write it as:

Rahul = Jay + 4 = Prajay - 3

Substituting the values of Jay and Prajay from step 1, we get:

Rahul = 6x + 4 = 7x - 3

Step 3: Solving the above equation, we get the value of x as 7.

Step 4: Substituting the value of x in Jay, Prajay and Rahul's age, we get:

Jay = 67 = 42 years Prajay = 77 = 49 years Rahul = 6*7 + 4 = 46 years

Step 5: Adding all these ages, we get the sum of the present ages of all three as:

42 + 49 + 46 = 137 years

So, the sum of the present ages of Jay, Prajay, and Rahul is 137 years.

This problem has been solved

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