SOLUTION: The sum of two numbers is 22.The sum of three quarter of one of the number and one fifth of the other number is 11.Find the number.The topic is Problems Involving

Algebra.Com
Question 991506: The sum of two numbers is 22.The sum of three quarter of one of the number and one fifth of the other number is 11.Find the number.The topic is Problems Involving
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
x and y are the two numbers
.
x+y=22
x=22-y
.
(3/4)x+(1/5)y=11
(3/4)(22-y)+(1/5)y=11
16.5-0.75y+0.2y=11
-0.55y=-5.5
y=10
.
x=22-y=22-10=12
ANSWER: The numbers are 10 and 12.
.
(3/4)x+(1/5)y=11
(3/4)12+(1/5)10=11
9+2=11
11=11

RELATED QUESTIONS

the sum of two numbers is 75, one number is 22 more than the other. Find equation and... (answered by rfer)
The sum of two number is 22.the sum of 3/4 one of the number and 1/5 of the other number... (answered by josgarithmetic,opeodu)
one number is a quarter of another number. the sum of the two numbers is 50. find the... (answered by FrankM,stanbon)
The sum of two numbers is 68. One number is 22 more than the other. Find the... (answered by TimothyLamb)
The sum of two numbers is 15. Three times one of the number is 11 less than 5 times the... (answered by fave)
The sum of two numbers is 48. One number is 22 more than the other. Find the... (answered by checkley79)
two numbers have a sum of 11. One of the numbers is q. Find the other... (answered by stanbon)
one number is one-third of a second number and one fifth of a third number.If the sum of... (answered by sachi)
The sum of two numbers is 92. One fifth of the first number added to one half of the... (answered by drj)