Question

Three times the larger of two consecutive even integers is ten more than the smaller. Find the numbers

Answer 1

• The numbers are 2 and 4

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Let the integers be x and y.

Set equations:

• y = x + 2 (consecutive even numbers are 2 apart)
• 3y = x + 10

Substitute the value of y into the second equation:

• 3(x + 2) = x + 10
• 3x + 6 = x + 10
• 3x - x = 10 - 6
• 2x = 4
• x = 2

Find y:

• y = 2 + 2
• y = 4