If the present age of E is 5 years more than F and the sum of their ages is 55,

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Question: If the present age of E is 5 years more than F and the sum of their ages is 55, what is E\'s age?

Options:

Correct Answer: 35

Solution:

Let F\'s age be x. Then E\'s age is x + 5. So, x + (x + 5) = 55, which gives 2x + 5 = 55, hence 2x = 50, x = 25. Therefore, E\'s age is 25 + 5 = 30.

If the present age of E is 5 years more than F and the sum of their ages is 55, what is E's age?

If the present age of E is 5 years more than F and the sum of their ages is 55, what is E's age?

Correct Answer: 30

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: The problem states that the sum of E's age and F's age is 55. We can write this as: x + (x + 5) = 55.
Step 4: Simplify the equation: Combine like terms to get 2x + 5 = 55.
Step 5: To isolate 2x, subtract 5 from both sides of the equation: 2x = 55 - 5, which simplifies to 2x = 50.
Step 6: Now, divide both sides by 2 to find x: x = 50 / 2, which gives x = 25.
Step 7: Since x represents F's age, we can find E's age by adding 5: E's age = x + 5 = 25 + 5.
Step 8: Therefore, E's age is 30.

Algebraic Equations – The question tests the ability to set up and solve linear equations based on relationships between variables.
Age Problems – The question involves understanding how to express age relationships and solve for unknowns.