The sum of the ages of A and B is 50 years. If A is 10 years older than B, what

₹0.0

Question: The sum of the ages of A and B is 50 years. If A is 10 years older than B, what is B\'s age?

Options:

Correct Answer: 25

Solution:

Let B\'s age be x. Then A\'s age is x + 10. So, x + (x + 10) = 50. Solving gives x = 20.

The sum of the ages of A and B is 50 years. If A is 10 years older than B, what is B's age?

The sum of the ages of A and B is 50 years. If A is 10 years older than B, what is B's age?

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 age and B's age is 50 years. We can write this as: x + (x + 10) = 50.
Step 4: Simplify the equation: Combine like terms to get 2x + 10 = 50.
Step 5: Subtract 10 from both sides of the equation: 2x = 40.
Step 6: Divide both sides by 2 to find x: x = 20.
Step 7: Therefore, B's age is 20 years.

Algebraic Equations – The question tests the ability to set up and solve a simple algebraic equation based on relationships between variables.
Word Problems – The question involves translating a real-world scenario into a mathematical problem.