Question

the difference of two numbers is 6.the larger number exceeds three times the smaller number by 2. then their sum is

Answer 1

Let the number be x and another number = y

x = y+6

x = 3y+2

y+6 = 3y+2

4 = 2y

y = 2

x = 8


Hope it helps u :-)

Answer 2

Let larger number be X and Smaller number be Y.




According to the question,



X - Y = 6



X = ( 6 + Y )



And,


X = 3Y + 2



6 + Y = 3Y + 2



3Y - Y = 6 - 2



2Y = 4


Y= 2



Putting the Value of Y in ,



X = ( 6 + Y ) = ( 6 + 2 )


X = 8.


Hence,




Larger number = X = 8

And,

Smaller number = Y = 2.



Their sum = 8+2 = 10.