If the sum of the ages of two siblings is 30 years and one is 10 years older tha

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What’s inside this PDF?

Question: If the sum of the ages of two siblings is 30 years and one is 10 years older than the other, what is the age of the older sibling?

Options:

Correct Answer: 20

Solution:

Let the younger sibling be x years old. Then the older sibling is x + 10. So, x + (x + 10) = 30, which gives x = 10. Therefore, the older sibling is 20 years old.

If the sum of the ages of two siblings is 30 years and one is 10 years older tha

Practice Questions

If the sum of the ages of two siblings is 30 years and one is 10 years older than the other, what is the age of the older sibling?

Questions & Step-by-Step Solutions

If the sum of the ages of two siblings is 30 years and one is 10 years older than the other, what is the age of the older sibling?

Step 1: Let the age of the younger sibling be represented by 'x'.
Step 2: Since the older sibling is 10 years older, we can represent their age as 'x + 10'.
Step 3: According to the problem, the sum of their ages is 30 years. So we write the equation: x + (x + 10) = 30.
Step 4: Simplify the equation: Combine like terms to get 2x + 10 = 30.
Step 5: Subtract 10 from both sides of the equation: 2x = 20.
Step 6: Divide both sides by 2 to find 'x': x = 10.
Step 7: Now that we know the younger sibling is 10 years old, we can find the older sibling's age: x + 10 = 10 + 10.
Step 8: Therefore, the older sibling is 20 years old.

Algebraic Equations – The question tests the ability to set up and solve a simple algebraic equation based on a word problem involving ages.
Age Relationships – The question involves understanding the relationship between the ages of two siblings and how to express that relationship mathematically.

If the sum of the ages of two siblings is 30 years and one is 10 years older tha

What’s inside this PDF?

If the sum of the ages of two siblings is 30 years and one is 10 years older tha

Practice Questions

Questions & Step-by-Step Solutions

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