Consecutive NUmbers

Question

Find three consecutive integers such that the sum of the first and twice the second is 92 minus three times the third

Answer 1

consecutive numbers mean that each following number is 1 larger than the previous.

Lets call the numbers a, b, and c where b = a+1 and c= a+2

 

you need them to satisfy the requirement: a + 2b = 92 - 3c

 

so, write out the equation with only the a values (remember that b=a+1...)

 

a + 2(a+1) = 92 - 3(a+2)

multiply through the paranthesis

a + 2a + 2 = 92 - 3a - 6

combine like terms

3a + 2 = 86 - 3a

get all the a terms on one side, and the non-a terms on the other side and combine

6a = 84

solve for a

a = 84/6

 

Once you've solved for a you can solve for b and c. (b=a+1 and c=a+2)