SOLUTION: Hi tutors.. :) Im having a problem with Algebra Number Problems. For example an equation like this : There are two numbers whose sum is 72. One number is twice the other. What are

Algebra ->  Equations -> SOLUTION: Hi tutors.. :) Im having a problem with Algebra Number Problems. For example an equation like this : There are two numbers whose sum is 72. One number is twice the other. What are       Log On


   

Question 373108: Hi tutors.. :) Im having a problem with Algebra Number Problems. For example an equation like this : There are two numbers whose sum is 72. One number is twice the other. What are the numbers?

Also. There are three consecutive integers. the sum of the smallest and largest is 36.

I just dont get it:( Help please
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
There are two numbers whose sum is 72. One number is twice the other. What are the numbers?
.
Let x = first number
then from "One number is twice the other." we have
2x = second number
.
From: "There are two numbers whose sum is 72" we derive our equation:
x + 2x = 72
3x = 72
x = 24 (first number)
Second number:
2x = 2(24) = 48
.
.
.
Also. There are three consecutive integers. the sum of the smallest and largest is 36.
.
Let x = first consecutive integer
then
x+1 = second consecutive integer
x+2 = third
.
From:"the sum of the smallest and largest is 36" we get:
x + x+2 = 36
2x+2 = 36
2x = 34
x = 17 (first)
.
Second:
x+1 = 17+1 = 18
.
Third:
x+2 = 17+2 = 19