Let's solve this step by step:

1. According to the problem, the half of the sum of the ages of A and B is 5 years more than the age of C. We can write this as: (A + B)/2 = C + 5.

2. The problem also states that the sum of the ages of B and C is 10 years more than the age of A. We can write this as: B + C = A + 10.

3. We know that the age of A is 42 years. So, we can substitute A = 42 in the above equations.

4. Substituting A = 42 in equation 2, we get: B + C = 42 + 10, which simplifies to B + C = 52.

5. Substituting A = 42 in equation 1, we get: (42 + B)/2 = C + 5, which simplifies to 21 + B/2 = C + 5.

6. From equation 5, we can solve for C: C = 21 + B/2 - 5.

7. Substituting equation 6 into equation 4, we get: B + (21 + B/2 - 5) = 52, which simplifies to 1.5B + 16 = 52.

8. Solving for B, we get: 1.5B = 52 - 16, which simplifies to 1.5B = 36.

9. Finally, dividing both sides by 1.5, we find that B = 36 / 1.5 = 24 years.

So, the age of B is 24 years.

Question

Let's solve this step by step:

1. According to the problem, the half of the sum of the ages of A and B is 5 years more than the age of C. We can write this as: (A + B)/2 = C + 5.

2. The problem also states that the sum of the ages of B and C is 10 years more than the age of A. We can write this as: B + C = A + 10.

3. We know that the age of A is 42 years. So, we can substitute A = 42 in the above equations.

4. Substituting A = 42 in equation 2, we get: B + C = 42 + 10, which simplifies to B + C = 52.

5. Substituting A = 42 in equation 1, we get: (42 + B)/2 = C + 5, which simplifies to 21 + B/2 = C + 5.

6. From equation 5, we can solve for C: C = 21 + B/2 - 5.

7. Substituting equation 6 into equation 4, we get: B + (21 + B/2 - 5) = 52, which simplifies to 1.5B + 16 = 52.

8. Solving for B, we get: 1.5B = 52 - 16, which simplifies to 1.5B = 36.

9. Finally, dividing both sides by 1.5, we find that B = 36 / 1.5 = 24 years.

So, the age of B is 24 years.

Knowee AI · Accepted Answer