Question

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

Answer 1

Hi ......☺

Let the bigger no. be x and smaller y

Then , According to question

x-y =8. .....1equation
x = 8+y

(x +2 ) = 3y

Substituting the value of x

(8+y+2) = 3y
10 = 2y
y = 5

From 1st equation

x = 8+5 = 13

✔Therefore the bigger no.is 13 and smaller is 5


✌✌ Hope this helps ..

Answer 2

take;bigger no as X,
        and smaller no as Y
   
Now,
        x-y=8 _A equ

where,
           (x+2)=3y  _1 equ


sub 1 equ in the A equ

            3y-y=8
            2y=8
            y=8/2    => 4
            
now again sub in 1 equ 
                        
            x+2=3*4
            x =12-2  =>  10


∴ x = 10, y=4