Question

The difference of two numbers is equal to 0.6. Their quotient is also 0.6. What are the numbers?

Answer 1

Let one number be x and the other number be y.

The 2 equations are:
x - y = 0.6    --------------- (1)
x/y = 0.6      --------------- (2)

From equation (1):
x - y = 0.6
x = 0.6 + y     --------------- Sub into (2)

$\dfrac{0.6 + y}{y} = 0.6$

0.6 + y= 0.6y

y - 0.6y = - 0.6

0.4y = - 0.6

y = -0.6 ÷ 0.4

y = -1.5

Sub y = -1.5 into (1):

x - y = 0.6

x - (-1.5) = 0.6

x  + 1.5 = 0.6

x = 0.6 - 1.5

x = - 0.9

Answer: The numbers are -0.9 and -1.5