E is 5 years older than F. If the sum of their ages is 45 years, what is E's age

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Question: E is 5 years older than F. If the sum of their ages is 45 years, what is E\'s age?

Options:

Correct Answer: 25

Solution:

Let F\'s age be x. Then E\'s age is x + 5. So, x + (x + 5) = 45. Solving gives x = 20, hence E = 25.

E is 5 years older than F. If the sum of their ages is 45 years, what is E's age?

E is 5 years older than F. If the sum of their ages is 45 years, what is E's age?

Step 1: Let F's age be represented by the variable x.
Step 2: Since E is 5 years older than F, we can express E's age as x + 5.
Step 3: According to the problem, the sum of E's age and F's age is 45 years. We can write this as: x + (x + 5) = 45.
Step 4: Simplify the equation: Combine like terms to get 2x + 5 = 45.
Step 5: Subtract 5 from both sides of the equation: 2x = 40.
Step 6: Divide both sides by 2 to find x: x = 20.
Step 7: Now that we know F's age (x) is 20, we can find E's age: E = x + 5 = 20 + 5.
Step 8: Therefore, E's age is 25.

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.