G is 3 years older than H. If the sum of their ages is 45 years, what is G's age

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Question: G is 3 years older than H. If the sum of their ages is 45 years, what is G\'s age?

Options:

Correct Answer: 24

Solution:

Let H\'s age be x. Then G\'s age is x + 3. So, x + (x + 3) = 45. Solving gives x = 21, hence G = 24.

G is 3 years older than H. If the sum of their ages is 45 years, what is G's age?

G is 3 years older than H. If the sum of their ages is 45 years, what is G's age?

Step 1: Let H's age be represented by the variable x.
Step 2: Since G is 3 years older than H, we can express G's age as x + 3.
Step 3: The problem states that the sum of their ages is 45 years. We can write this as an equation: x + (x + 3) = 45.
Step 4: Simplify the equation: Combine like terms to get 2x + 3 = 45.
Step 5: Subtract 3 from both sides of the equation: 2x = 45 - 3, which simplifies to 2x = 42.
Step 6: Divide both sides by 2 to solve for x: x = 42 / 2, which gives x = 21.
Step 7: Now that we have H's age (x = 21), we can find G's age: G = x + 3 = 21 + 3, which equals 24.

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 solve for unknowns.