SOLUTION: When the smaller of two consecutive integers is added to five times the larger, the result is 53. Find the integers

Algebra.Com
Question 995377: When the smaller of two consecutive integers is added to five times the larger, the result is 53. Find the integers
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
S=smaller integer; L=larger integer=S+1
.
S+5L=53
S+5(S+1)=53
S+5S+5=53
6S=48
S=8
L=S+1=8+1=9
.
ANSWER:The two numbers are 8 and 9.
.
CHECK:
S+5L=53
8+5(9)=53
8+45=53
53=53

RELATED QUESTIONS

when the smaller of two consecutive integers is added to five times the larger the result (answered by josgarithmetic)
When the smaller of two consecutive integers is added to five times the larger, the... (answered by Alan3354)
If five times the smaller of two consecutive integers is added to three times the... (answered by checkley77)
If five times the smaller of two consecutive integers is added to three the larger,the... (answered by DrBeeee)
When the smaller of two consecutive integers is added to two times the larger, the result (answered by sophxmai)
When the smaller of two consecutive integers is added to two times the larger, the result (answered by mananth)
When the smaller of two consecutive integers is added to two times the larger the result... (answered by ewatrrr)
When the smaller of two consecutive integers is added to two times the​ larger, the (answered by Boreal)
when the smaller of two consecutive integers is added to three times the larger, the... (answered by Nate)