Answer: The numbers are -3 and - 6
Step-by-step explanation:
Let the first number be x and the second number be y , then from the first statement we have
x + 3 = y ............. equation 1
From the second statement
2y = 3x + 12 ............ equation 2
solving the resulting simultaneous equation by substitution method ,we have:
substitute x - 3= y into equation 2 , we have
2( x + 3) = 3x + 12
2x + 6 = 3x + 12
2x - 3x = 6
x = -6
substitute x = - 6 into equation 1 , that is
- 6 + 3 = y
Therefore ,
y = -3
2y = 3y + 3
Check:
x + 3 = y , implies
-6 + 3 = -3 = y
Also 2y = 3x + 12 , implies
2(-3) = -6
3(-6) + 12 = -6
