Question 659089
"The difference between two numbers is 11. Twice the smaller number plus three times the larger number 123. What are these numbers ? "


let:

x=larger number
y=smaller number
x-y=1  (equation  1)
2y+3x=123  (equation 2)

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solve for 'y':

x-y=1

x=y+1

substitute the x to equation 2 to get the value of 'y'

2y+3x=123

2y+3(y+1)=123

2y+3y+3=123

5y+3=123

y=24

substitute the value of  'y'  in  equation 1 to get the value  of 'x' .


x-y=1

x-24=1

x=25

checking:  

x-y=1

25-24=1 (correct)

2y+3x=123


2(24)+3(25)=123

48+75=123 (correct)

i hope it  helped you :)