Question

One number is 10 more than another.  The sum of twice the smaller plus three times the larger, is 55.  What are the two numbers?​

Answer 1

Answer:

numbers are 5 and 15

Step-by-step explanation:

let two numbers be x and y

according to question

1st equation

x=10+y

2nd equation

2y+3x=55

put the value of x from 1st equation

2y+ 30+3y=55

5y=55-30

5y=25

y=5

x=15

Answer 2

Answer:

Answer: The two numbers are 15 and 5.

Step-by-step explanation:

let smaller number be x and the greater number be y.

therefore,  y=x+10

= -x+y=10..(1)

2x+3y=55..(2)

Multiply (1) by 2

=   -2x+2y=20

  Add (1) and (2)

=    5y=75

    y=75/5

   therefore, y= 15.

Substitute y in (1)

=   15=x+10

    15-10=x

  therefore, x=5.