SOLUTION: When two numbers are added together, the result is 45. Twice the greater number is six more than five times the lesser number. What are the numbers?

Question 357196: When two numbers are added together, the result is 45. Twice the greater number is six more than five times the lesser number. What are the numbers?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let x be the smaller number'
y the bigger number
x+y=45......................1
2y=5x+6
2y-5x=6......................2
multiply equation 1 by 5 and add to 2
5x+5y=225
add to 2
7y=231
/7
y =33
...
plug value of y in 1
x+21=45
x=24
24 & 33
...
m.ananth@hotmail.ca
RELATED QUESTIONS
when two numbers are added together, the result is 45. twice the greater number is six... (answered by mando271)

When 2 numbers are added together the result is 45. Twice the greater number is 10 more... (answered by jorel1380)

One number is 62 more than another number. If twice the greater number is subtracted from (answered by mananth)

the sum of a number is 27. if the lesser number is doubled, the result would be six more... (answered by lwsshak3)

what two whole numbers when added together the sum is 123,when i subtract the lesser... (answered by josmiceli)

the sum of two numbers is 26. the greater number is six more than four times the lesser... (answered by drvidmar)

Find two consecutive odd integers such that when the lesser is added to twice the... (answered by richwmiller)

The lesser of two numbers is 2 less than the greater number. If 10 is subtracted from six (answered by mananth)