SOLUTION: There are two consecutive numbers. The sum of the lesser number and three times the greater number is 103. Find the two numbers.

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Question 290617: There are two consecutive numbers. The sum of the lesser number and three times the greater number is 103. Find the two numbers.
Answer by College Student(505) About Me  (Show Source):
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There are two consecutive numbers. The sum of the lesser number and three times the greater number is 103. Find the two numbers.

Since consecutive numbers are 1 number apart, let:
one number = x
the other = x+1

Now the equation becomes:
x%2B3%28x%2B1%29=103
x%2B3x%2B3=103

Now solve for "x" to find your first number, and add 1 to find the consecutive number. Remember to replace these two values in the original equation to verify they work. In other words, the sum of the first number and 3 times the second number must equal 103.