SOLUTION: The sum of two numbers is 23.The greater number is 4 less than 2 times the smaller number.What are the two numbers?
Algebra.Com
Question 1156198: The sum of two numbers is 23.The greater number is 4 less than 2 times the smaller number.What are the two numbers?
Answer by alanc(27) (Show Source): You can put this solution on YOUR website!
Translate this word problem into an equation.
Let the letter a = the greater number.
let b = the smaller number.
We see a + b = 23
Also
a = 2b - 4
We have a system of 2 equations in 2 variables.
Let us use substitution.
(2b - 4) + b = 23
3b - 4 = 23
3b - 4 + 4 = 23 + 4
3b = 27
3b / 3 = 27 / 3
b = 9
So...
a = 2*9 - 4
a = 18 - 4 = 14
The two numbers are 14 and 9
RELATED QUESTIONS
The sum of two numbers is 39. The greater number is 5 less than 3 times the smaller... (answered by drk)
The smaller of two numbers is 10 less than 4 times the greater number. The greater number (answered by Flannery)
The sum of two numbers is 61 . The smaller number is 23 less than the larger number. What (answered by Solver92311)
The sum of two numbers is 23. Twice the larger number is 4 more than 4 times the... (answered by broadway)
The larger of two numbers is 14 less than four times the smaller number. The sum of the... (answered by dfrazzetto,mananth)
The sum of two numbers is 43 . The smaller number is 23 less than the larger number. What (answered by ReadingBoosters)
The sum of two numbers is 67. The smaller number is 23 less than the larger number. What... (answered by sofiyac)
if the sum of 2 numbers is is 39, the greater number is less than 5 than 3 times the... (answered by mxgirl22)
one number is 4 less than another number. the sum of the two smaller numbers is is four... (answered by oscargut)