If I is 12 years older than J and the sum of their ages is 60 years, what is I's

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Question: If I is 12 years older than J and the sum of their ages is 60 years, what is I\'s age?

Options:

Correct Answer: 30

Solution:

Let J\'s age be x. Then I\'s age is x + 12. So, x + (x + 12) = 60. Solving gives x = 24, hence I = 36.

If I is 12 years older than J and the sum of their ages is 60 years, what is I's age?

If I is 12 years older than J and the sum of their ages is 60 years, what is I's age?

Step 1: Let J's age be represented by the variable x.
Step 2: Since I is 12 years older than J, we can express I's age as x + 12.
Step 3: The problem states that the sum of their ages is 60 years. We can write this as an equation: x + (x + 12) = 60.
Step 4: Simplify the equation: Combine like terms to get 2x + 12 = 60.
Step 5: Subtract 12 from both sides of the equation: 2x = 60 - 12, which simplifies to 2x = 48.
Step 6: Divide both sides by 2 to solve for x: x = 48 / 2, which gives x = 24.
Step 7: Now that we know J's age (x) is 24, we can find I's age by substituting x back into the expression for I's age: I = x + 12 = 24 + 12.
Step 8: Calculate I's age: I = 36.

Algebraic Equations – The question tests the ability to set up and solve a linear equation based on relationships between variables.
Age Problems – The question involves understanding and manipulating age-related relationships to find a solution.