What are the two numbers that are the sum 50 difference 10 ? thank you
3 Answers
See below.
Explanation:
Firstly, assign the two numbers random variables
The sum of them is equal to
The difference is
Now we have a simultaneous equation.
Add them together to cancel out the
Now solve for
Now put the value back into one of the equations to find
The two numbers are
Explanation:
#"let the 2 numbers be x and y ";x>y#
#x+y=50larrcolor(blue)"sum of numbers"#
#x-y=10larrcolor(blue)"difference of numbers"#
#"add the 2 equations term by term on both sides"#
#(x+x)+(y-y)=(50+10)#
#2x=60#
#"divide both sides by 2"#
#x=60/2=30rArrx=30#
#"substitute " x=30" into "x+y=50#
#30+y=50#
#"subtract 30 from both sides"#
#y=50-30=20rArry=20#
#"the 2 numbers are 30 and 20"#
30 and 20
Explanation:
Okay let's define a couple numbers, let's call one of them
We are told that the sum (addition) is:
And the difference (subtraction):
We have a system of equations; two equations and two unknown variables so it is solvable; we will use the "substitution" method:
add
now substitute the value we solved for
So one of the numbers is
Solved! Our numbers are 30 and 20
To check your solutions insert them into the original equations:
and