find three consecutive integers such that the sum of the first and the third is 80?
the difference of two numbers is 46.the larger of the two numbers is 3 times the smaller. find the value of the two numbers.
Say your two consecutive numbers are :
, and
The sum of the first and the third is , so , which simplifies to , or , and finally . Substitute back this value into your consecutive integers. Your consecutive integers are :
, and , that is, your integers are , and .
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Say the two numbers are and , such as .
- Their difference is , so .
- The larger of the two numbers ( ) is times the smaller ( ), so .
You have , and . Substitute the second into the first :
Which simplifies to :
Thus .
Plug this back into the first equation to find :
, so .
Your two numbers are and .