A's age is twice that of B's age. If the difference between their ages is 10 yea

A's age is twice that of B's age. If the difference between their ages is 10 years, what is A's age?

A's age is twice that of B's age. If the difference between their ages is 10 years, what is A's age?

Correct Answer: 20

Step 1: Let B's age be represented by the variable x.
Step 2: Since A's age is twice B's age, we can express A's age as 2x.
Step 3: The problem states that the difference between A's age and B's age is 10 years.
Step 4: We can write the equation for the difference: A's age - B's age = 10, which translates to 2x - x = 10.
Step 5: Simplify the equation: 2x - x equals x, so we have x = 10.
Step 6: Now that we know B's age (x) is 10, we can find A's age by calculating 2 * x.
Step 7: Calculate A's age: 2 * 10 = 20.
Step 8: Therefore, A's age is 20 years.

Algebraic Expressions – The question tests the ability to set up and solve equations based on relationships between variables.
Age Problems – It involves understanding how to express age relationships and differences mathematically.