The mean of 5 numbers is 34. Three of the numbers are 29, 26 and 35. If the remaining two numbers are in the ratio 1:3, find the numbers?

The mean of 5 numbers is 34. Three of the numbers are 29, 26 and 35. If the remaining two numbers are in the ratio 1:3, find the numbers?

  • (A) 10, 40
  • (B) 20, 60
  • (C) 35, 45
  • (D) 10, 50
  • Solution: Total sum of 5 numbers = 5 × 34 = 170
  • Sum of the three numbers (given) = 29 + 26 + 35 = 90
  • So, the sum of the remaining two numbers = 170 - 90 = 80
  • Let the two numbers be in ratio 1:3 → x and 3x
  • Then x + 3x = 80 ⇒ 4x = 80 ⇒ x = 20
  • So the numbers are 20 and 60
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Related MCQs:

 ‘NATO’ is an abbreviation of:

  • (A) North Atlantic Treaty Organization
  • (B) Non-Aligned Treaty Organization
  • (C) Non-Aligned Trading Organization
  • (D) North American Transport Organization

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