The sum of two natural numbers 110 and their difference is 36 find the number
Answers
Answer:
❣ ANSWER ❣
✡ ROCKY HERE ✌
According to the comditions ;
x + y = 110 ----(1)
x - y = 36
x = 36 + y ------(2)
substituting eq ( 2) in eq (1)
36 + y + y = 110
2y = 110 - 36
2y = 74
y = 37 ----(3)
substituting eq (3) in eq (2) .
x = 36 + 37
x = 73
x = 73 and y = 37
✴HAPPY TO HELP
Answer:
I think the two numbers are 37 and 73
Step-by-step explanation:
using x and y as substitutes for the two natural numbers:
create a simultaneous equation representing the given data like so>
x+y=110
x-y=36
then choose your focus I choose x so since the signs of x are the same being they are both positive as there is no negative in front of the x I have to subtract the two equations from one another like so >
x-x=0
+y--y= 2y
110-36=74 this makes the equation now look like 2y=74 then we divide by 2 on both sides resulting in y=37 then we use this and substitute y into one of the equations like so:
x + 37 =110
and solve for x by subtracting 37 on both sides making it> x=73
And finally we do a check to make sure the answer is correct by using the second equation x-y=36
like so: (73)-(37)=36 which works therefore proving the answer is correct
Hope this was Helpful! :)