SOLUTION: Please help me solve this word problem: The larger of the two numbers is 1 less than 3 times the smaller number if twice the smaller number is increased by the larger number the r

Question 995366: Please help me solve this word problem: The larger of the two numbers is 1 less than 3 times the smaller number if twice the smaller number is increased by the larger number the result is 18 more than the larger number .find both numbers
Thank you.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
let x be the larger number and y be the smaller number, then
x = 3y -1
2y +x = x + 18
*************************************************************
use second equation
subtract x from both sides of =
2y = 18
y = 9
substitute for y in first equation
x = 3*9 -1
x = 26
************************************************************
the two numbers are 26 and 9
check using second equation
(2*9) +26 = 26 + 18
18 = 18
answer checks

RELATED QUESTIONS
Please help me solve this question please: The larger of two numbers is 6 less than 3... (answered by mathslover)

Please help me solve this word problem: The sum of two numbers is 91. The larger... (answered by rfer)

Please help me answer this question. The sum of two numbers is 19. If 5 times the... (answered by checkley77)

Please help me :\ thanks! The larger of two numbers is 1 less than twice the smaller.... (answered by josmiceli)

the larger of two numbers is 1 less than 3 times the smaller number. If twice the smaller (answered by josgarithmetic)

the larger of two numbers is 1 less than 3 times the smaller number. If twice the smaller (answered by fractalier)

what is the answer to this word problem "The Difference between two numbers is 16.... (answered by ankor@dixie-net.com)

The smaller of two numbers is eight less than three times the larger number. If twice the (answered by lwsshak3)