Question

Difference between two number is 3 the sum of three
times the bigger number and two times the smaller
number is 19
Then find the number?

​

Answer 1

Answer:

The larger number is 5 and the smaller one is 3

Step-by-step explanation:

let x be the first number and y be the second number.

First Eq: x-y=3

Second Eq: 3x+2y=19

Solve for x in the first equation:

x-y+y=3+y

x=3+y

Then substitute that to the x in thesecond equation:

3x+2y=19

3(3+y)+2y=19

9+3y+2y=19

9-9+5y=19-9

5y/5=10/5

y=2

Substitute y to the first equation:

x-y=3

x-(2)+2=3+2

x=5