SOLUTION: two numbers have a difference of 11 whilst fives times the smaller exceeds twice the larger by 17. find the two numbers

Algebra.Com
Question 1017791: two numbers have a difference of 11 whilst fives times the smaller exceeds twice the larger by 17. find the two numbers
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
L=larger number; S=smaller number
.
L-S=11
L=S+11
.
5S-2L=17
5S-2(S+11)=17
5S-2S-22=17
3S=39
S=13
.
L=S+11=13+11=24
.
ANSWER: The smaller number is 13 and the larger is 24.
.
CHECK:
5S-2L=17
5(13)-2(24)=17
65-48=17
17=17
.





RELATED QUESTIONS

The sum of two numbers is 17, and twice the larger exceeds three times the smaller by 4.... (answered by ikleyn)
the larger of two numbers is seven times the smaller. if the sum of the two numbers... (answered by solver91311)
the difference between two numbers is 25. the larger exceeds 3 times the smaller by 4.... (answered by checkley77)
Solve this problem by using a two order system. The larger of two numbers exceeds... (answered by Fombitz)
The difference of two numbers is 1. Twice the smaller is 11 more than the larger. Find... (answered by Stitch)
Find two numbers where three times the smaller number exceeds the larger by 5 and the sum (answered by addingup)
The difference of two numbers is 7. When three times the smaller number is taken from... (answered by TimothyLamb)
The smaller of two numbers is 12 less than the larger. Four times the larger exceeds 3... (answered by JulietG)
the larger of two numbers is 4 less than fives times the smaller. when the smallest... (answered by addingup,MathTherapy)