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.
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