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The sum of three consecutive even numbers is 96. What is the LARGEST of them?

Class 8Linear Equations in One VariableLinear Equations
  • A30
  • B32
  • C34
  • D36

Step-by-Step Solution

Let the numbers be and . Then → → , so the numbers are 30, 32 and 34 and the largest is 34. Check: 30 + 32 + 34 = 96. Stopping at answers the smallest number and 32 is the middle one — the question asks for the largest.
Answer: C) 34

Key idea: Equations with fractions

Multiplying both sides by the LCM of denominators turns fractions into whole numbers in one move.

Example: . LCM of 2, 3, 6 = 6. Multiply every term by 6:
.

Verify: . ✓

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