The Difference Between Two Number 27. When Twice The Smaller Number Is Subtrated From Three Times Large Number, The Difference Is 95., Which Is The La

The difference between two number 27. when twice the smaller number is subtrated from three times large number, the difference is 95.

which is the larger number ?

 

Answer: Larger number is 41

Step-by-step explanation:

let x= larger number

y= smaller number

x-y=27

3x-2y=95

(-2) x-y=27 (-2)

+ 3x-2y=95

-2x+2y=-54

+ 3x-2y=95

__________

x +0 = 41

x = 41

substitute the value of x in the first equation

x-y=27

x=41

41-y=27

-y=27-41

-y=-14

(-1)-y=-14(-1)

y=14

check

x-y=27

x=41

y=14

41-14=27

27=27