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In a class the number of boys is 8 more than the number of girls. Three times the number of girls equals the number of boys plus 4. How many students (boys + girls) are there in the class altogether?

Class 10Word Problems on Linear PairsAlgebra — Systems of Equations
  • A18
  • B22
  • C20
  • D40

Step-by-Step Solution

Let boys = b, girls = g. b = g + 8 and 3g = b + 4. Substituting: 3g = (g + 8) + 4 -> 2g = 12 -> g = 6, so b = 14. Total = 6 + 14 = 20.
Answer: C) 20

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