The sum of three positive integers is 42. The smallest integer is five less than the middle integer. The middle integer is two less than the greatest integer. Define a variable, write an equation and solve to find the three integers.

Guest Apr 30, 2022

#1**+3 **

Let the three integers be x, y and z, from smallest to largest. A system of equations composed from the information given would look like this:

x+y+z=42

x+5=y

y+2=z

Substitution finds that z= (x+5)+2=x+7, and so x+(x+5)+(x+7)=42.

3x+12=42

3x=30

x=10

y=15

z=17

WhyamIdoingthis Apr 30, 2022

#1**+3 **

Best Answer

Let the three integers be x, y and z, from smallest to largest. A system of equations composed from the information given would look like this:

x+y+z=42

x+5=y

y+2=z

Substitution finds that z= (x+5)+2=x+7, and so x+(x+5)+(x+7)=42.

3x+12=42

3x=30

x=10

y=15

z=17

WhyamIdoingthis Apr 30, 2022