If I is 10 years older than J and the sum of their ages is 70 years, how old is

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Question: If I is 10 years older than J and the sum of their ages is 70 years, how old is I?

Options:

Correct Answer: 40

Solution:

Let J\'s age be x. Then I\'s age is x + 10. So, x + (x + 10) = 70. Solving gives x = 30, hence I = 40.

If I is 10 years older than J and the sum of their ages is 70 years, how old is I?

If I is 10 years older than J and the sum of their ages is 70 years, how old is I?

Step 1: Let J's age be represented by the variable x.
Step 2: Since I is 10 years older than J, we can express I's age as x + 10.
Step 3: The problem states that the sum of their ages is 70 years. We can write this as an equation: x + (x + 10) = 70.
Step 4: Simplify the equation: Combine like terms to get 2x + 10 = 70.
Step 5: Subtract 10 from both sides of the equation: 2x = 60.
Step 6: Divide both sides by 2 to solve for x: x = 30.
Step 7: Now that we know J's age (x) is 30, we can find I's age by substituting x back into the equation for I: I = x + 10 = 30 + 10.
Step 8: Therefore, I's age is 40.

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 how to express age relationships and sums in algebraic form.