If the sum of the ages of A and B is 60 years and A is 10 years older than B, wh

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Question: If the sum of the ages of A and B is 60 years and A is 10 years older than B, what are their ages?

Options:

Correct Answer: 25, 35

Solution:

Let B\'s age be x. Then A\'s age is x + 10. So, x + (x + 10) = 60. Solving gives x = 25. Therefore, A is 35 and B is 25.

If the sum of the ages of A and B is 60 years and A is 10 years older than B, what are their ages?

If the sum of the ages of A and B is 60 years and A is 10 years older than B, what are their ages?

Correct Answer: A is 35 years old and B is 25 years old.

Step 1: Let B's age be represented by the variable x.
Step 2: Since A is 10 years older than B, we can express A's age as x + 10.
Step 3: According to the problem, the sum of A's and B's ages is 60 years. We can write this as an equation: x + (x + 10) = 60.
Step 4: Simplify the equation: Combine like terms to get 2x + 10 = 60.
Step 5: Subtract 10 from both sides of the equation: 2x = 50.
Step 6: Divide both sides by 2 to solve for x: x = 25.
Step 7: Now that we know B's age (x) is 25, we can find A's age: A = x + 10 = 25 + 10 = 35.
Step 8: Therefore, A is 35 years old and B is 25 years old.

Algebraic Equations – The question tests the ability to set up and solve linear equations based on given relationships.
Age Problems – The question involves understanding how to manipulate age-related information to find specific values.