SOLUTION: If 3 times the smaller of 2 consecutive integers is added to 4 times the larger, the result is 137. Find both integers. Show way to get answer

Question 443975: If 3 times the smaller of 2 consecutive integers is added to 4 times the larger, the result is 137. Find both integers. Show way to get answer
Answer by chriswen(106) (Show Source): You can put this solution on YOUR website!
Let x be the smaller integer.
Let x+1 be the larger integer.
...
3 times smaller number plus 4 times larger number is 137.
3x+ 4(x+1)=137
3x+4x+4=137
7x=137-4
7x=133
x=133/7
x=19
x+1=20
...
Therefore, the two consecutive integers are 19 and 20.
RELATED QUESTIONS
if three times the smaller of two consecutive integers is added to four times the larger, (answered by josmiceli)

If three times the smaller of two consecutive integers is added to four times the larger, (answered by fractalier)

If three times the smaller of two consecutive integers is added to four times the larger... (answered by CharlesG2)

Solve. Please show all of your work. If three times the smaller of two consecutive... (answered by ewatrrr)

Please help me solve this word problem; If three times the smaller of two consecutive... (answered by poliphob3.14,MathLover1)

Im not sure what consecutive integers are. Question- if three times the smaller of two (answered by sudhanshu_kmr)

If 3 times the smaller of two consecutive integers is added to 4 times the larger, the... (answered by drj)

If 2 times the smaller of two consecutive integers is added to 6 times the larger, the... (answered by mananth)

if 3 times the smaller of 2 consecutive integers is added to four times the larger and... (answered by College Student)