Ahmad is x years old. His older brother Hakim is 3 years older than Ahmad. The sum of their ages is 27 years. Find Ahmad's age, in years.
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Worked Solution
Step 1: Express both ages in terms of x.
Ahmad's age = x years.
Hakim is 3 years older, so Hakim's age = (x + 3) years.
Step 2: Form an equation from the total.
Ahmad + Hakim = 27.
x + (x + 3) = 27.
Step 3: Simplify the left-hand side.
2x + 3 = 27.
Step 4: Subtract 3 from both sides.
2x = 27 − 3 = 24.
Step 5: Divide both sides by 2.
x = 24 ÷ 2 = 12.
Check (reverse): Ahmad = 12, Hakim = 12 + 3 = 15. Total = 12 + 15 = 27 ✓
Final answer: Ahmad is 12 years old.
Answer: 12
Correct answer: 12
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