Question

the difference of two numbers is 4.The larger number exceeds three times the smaller number by2.find numbers.

Answer 1

let the two numbers be X and Y

x-y =4 ....equation 1


x=2y+3( putting this value of x in equation 1 )

2y+3-y=4

y+3=4

y=4-3=1


so
x=y+4
=1+4=5





So the two numbers are 1 AND 5

Answer 2

let the smaller no be x
so the larger no is 3x+2

now the equation formed is
3x+2 - x = 4
2x+2 = 4
2x = 4-2
x = 2/2
x = 1