The sum of two numbers is 58.the smaller number is 12 less than the larger number. what are the numbers?

smaller number is 23, larger number is 35

Step-by-step explanation:

Let the smaller number be y

The larger number will be y+12

The addition of the numbers is 58.

y+(y+12) = 58

y+y+12 = 58

2y+12 = 58

2y= 58-12

2y= 46

y= 46/2

y= 23

The smaller number is 23

Larger number will be 23+12=35

ljn

step-by-step explanation:

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.