If the sum of the ages of a husband and wife is 70 years and the husband is 10 y

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Question: If the sum of the ages of a husband and wife is 70 years and the husband is 10 years older than the wife, how old is the wife?

Options:

Correct Answer: 25

Solution:

Let the wife\'s age be x. Then, husband\'s age is x + 10. So, x + (x + 10) = 70, which gives x = 30. Therefore, the wife is 30 years old.

If the sum of the ages of a husband and wife is 70 years and the husband is 10 years older than the wife, how old is the wife?

If the sum of the ages of a husband and wife is 70 years and the husband is 10 years older than the wife, how old is the wife?

Step 1: Let the wife's age be represented by the variable x.
Step 2: Since the husband is 10 years older than the wife, we can express the husband's age as x + 10.
Step 3: According to the problem, 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 = 70 - 10, which simplifies to 2x = 60.
Step 6: Divide both sides by 2 to solve for x: x = 60 / 2, which gives x = 30.
Step 7: Since x represents the wife's age, the wife is 30 years old.

Algebraic Equations – The question tests the ability to set up and solve a simple algebraic equation based on relationships between variables.
Word Problems – The question involves translating a real-world scenario into a mathematical problem.