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Ages & Problems on Numbers · Question 35 of 60

Question 35

EasyOriginal question

The sum of two consecutive even numbers is 102. What is the smaller number?

Options for question 35

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Let them be nn and n+2n + 2: 2n+2=1022n + 2 = 102.

  2. n=50n = 50; the numbers are 50 and 52.

Worth noting

51 is half of 102, but it is odd. Consecutive even numbers differ by 2, so they sit on either side of 51.

Concept
Consecutive even numbers
Typical time
30 s
Your time
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The rule this testsProblems on numbers
Practise this chapter →

Ten questions from Ages & Problems on Numbers, at your own pace.

Practise this chapter →

Ten questions from Ages & Problems on Numbers, at your own pace.