Question

the difference between two number is 8 if 2 is added to the bigger number the result will be three times the smaller number

Answer 1

let the bigger no. be x and smaller no.be y
x-y=8
x+2=3y
x=8+y
by putting the value in the eq we get
8+y+2=3y
y=5
x=8+5=13

Answer 2

Let the Larger Number be x and smaller Number be y Respectively
According to Given Condition
x - y = 8-----------------1
x + 2 = 3y
x = 3y - 2 ------------------2

Substitute the value of x in Equation 1
x - y = 8
3y - 2 - y = 8
2y = 8 + 2
2y = 10
y = 5

Substitute the value of y in  Equation 1
x - y = 8
x - 5 = 8
x = 13

SO,
The Larger No = 13 
And Smaller No = 5

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