Question

the difference between two number is 8 if 2 is added to the bigger number the result will be 3 times the smaller number find the numbers

Answer 1

13 and 5 is the answer

Answer 2

Let the numbers be x(bigger number)and y.
x-y=8---eqn 1
X+2=3(y)----eqn 2
From eqn 1,x=8+y
Substitute it in eqn 2
8+y+2=3y
10=3y-y
10=2y
y=5.Then,x=8+y=13.
That is,the numbers are 5 and 13.