Question

Two numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19. Find the numbers.

Answer 1

let the 2 no.s be x&y where did greater than y

x-y=3. -----1.
3x+2y=19.........2.

multiplying eq. 1 by 2
--. 2x - 2y=6.........3.

adding eq. 2&3
3x+2y=19
2x-2y=6
________
5x=25
x=5

substituting value of x in eq.1.
5-y=3
-y=3-5
-y=-2
y=2

x=5
y=2

hence the 2 ni.s are 5&2 ans.