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If the sum of the ages of A and B is 60 years and A is 10 years older than B, ho
If the sum of the ages of A and B is 60 years and A is 10 years older than B, how old is A?
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Practice Questions
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Q1
If the sum of the ages of A and B is 60 years and A is 10 years older than B, how old is A?
25
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35
40
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Let B's age be x. Then A's age is x + 10. So, x + (x + 10) = 60. Solving gives x = 25, hence A = 35.
Questions & Step-by-step Solutions
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Q
Q: If the sum of the ages of A and B is 60 years and A is 10 years older than B, how old is A?
Solution:
Let B's age be x. Then A's age is x + 10. So, x + (x + 10) = 60. Solving gives x = 25, hence A = 35.
Steps: 8
Show Steps
Step 1: Let B's age be represented by the variable x.
Step 2: Since A is 10 years older than B, we can express A's age as x + 10.
Step 3: According to the problem, the sum of A's and B's ages is 60 years. We can write this as an equation: x + (x + 10) = 60.
Step 4: Simplify the equation: Combine like terms to get 2x + 10 = 60.
Step 5: Subtract 10 from both sides of the equation: 2x = 50.
Step 6: Divide both sides by 2 to solve for x: x = 25.
Step 7: Now that we know B's age (x) is 25, we can find A's age by substituting x back into A's age equation: A = x + 10 = 25 + 10.
Step 8: Calculate A's age: A = 35.
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