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

If the sum of the ages of A and B is 60 years and A is 10 years older than B, how old is A?

If the sum of the ages of A and B is 60 years and A is 10 years older than B, how old is A?

Correct Answer: 35

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 by substituting x back into A's age equation: A = x + 10 = 25 + 10.
Step 8: Calculate A's age: A = 35.

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