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Cheko and Keddy are recording down their ages during the annual health check. The ratio of Cheko's age to Keddy's age is 3 : 5. In 7 years' time, their total age will be 38. What is Keddy's age 15 years from now?

Question

Cheko and Keddy are recording down their ages during the annual health check. The ratio of Cheko's age to Keddy's age is 3 : 5. In 7 years' time, their total age will be 38. What is Keddy's age 15 years from now?

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Solution

Let's solve this step by step:

Step 1: Let's assume Cheko's current age is 3x and Keddy's current age is 5x.

Step 2: According to the problem, in 7 years' time, their total age will be 38. So, we can write the equation as (3x + 7) + (5x + 7) = 38.

Step 3: Simplify the equation: 8x + 14 = 38.

Step 4: Subtract 14 from both sides: 8x = 24.

Step 5: Divide both sides by 8: x = 3.

Step 6: Now that we know x = 3, we can find Keddy's current age by substituting x into 5x: 5*3 = 15. So, Keddy is currently 15 years old.

Step 7: To find Keddy's age 15 years from now, we simply add 15 to his current age: 15 + 15 = 30.

So, Keddy will be 30 years old 15 years from now.

This problem has been solved

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