The sum of two numbers is 27 .one number is 3 more than the other number. write and solve a system of equations to find the two numbers

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using simultaneous equations to solve this problem.

Let's first establish the two equations we will be using to solve the problem.

Let number no. 1 = x

Let number no. 2 = y

Equation No. 1 -

x = y + 3

Equation No. 2 -

x + y = 27

To begin with, we will substitute the value of ( x ) from the first equation into the second equation to solve for ( y ).

Equation No. 2 -

x + y = 27

( y + 3 ) + y = 27

y + y = 27 - 3

2y = 24

y = 24 / 2

y = 12

Next we will substitute the value of ( y ) from the first equation into the first equation to solve for ( x ).

x = y + 3

x = ( 12 ) + 3

x = 15

FINAL ANSWER:

Therefore, the two numbers are 15 and 12.

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