Question

The sum to 2 numbers is 12 and the diffrence is 4

Answer 1

Answer:

Let the 2 numbers be x and y with x > y

#rArrxcolor(red)(+y)=12to(1)larr"sum of 2 numbers"#

#rArrxcolor(red)(-y)=4to(2)larr" difference of numbers"#

Adding the 2 equations, term by term on both sides, will eliminate y leaving an equation in x that we can solve.

#rArr(1)+(2)" gives"#

#(x+x)+(color(red)(-y+y))=(4+12)#

#rArr2x=16#

divide both sides by 2

#(cancel(2) x)/cancel(2)=16/2#

#rArrx=8#

Substitute this value into equation ( 1 ) and solve for y

#rArr8+y=12#

#rArry=12-8=4#

#"Thus the 2 numbers are " 8" and " 4#

Answer 2

Answer:

8+4=12

Step-by-step explanation: