Question

the difference of 2 numbers is 3 and their quotient is 2

Answer 1

Answer:

there will make two equations

x - y = 3

x / y = 2

so x / y = 2 = x = 2y

so solve

x - y = 3

x = 2y so subtract equations

y = 3

x = 6 answer

Answer 2

Answer:

$\sf\huge \: x = 6 \: \: and \: y = 3$

Step-by-step explanation:

$\sf\ let \: the \: 2 \: numbers = \boxed{ \tt \: x \: and \: y }\\ \\ \bf\ \therefore the \: difference \: of \: 2 \: numbers \: is \: 3 \: \\ \: \: \: \: \: \boxed{\sf\ \mapsto \: x - y = 3 - - - - - - - - (1)}\\ \\ \tt\ and \: their \: quotient \: is \: 2 \\ \boxed{\sf \: \frac{x}{y} = 2 } \\ \sf\underline{ \implies:x = 2y - - - - - - - - - (2) \: \: \: \: \ddot \smile } \\ \\ \bf\red{value \: of \: x \: put \: in \: (1)} \\ \\\sf\ \implies:2y - y = 3 \\ \\ \boxed{\sf\ \implies:y = 3}\\ \\ \tt\ value \: of \: y \: put \: in \: (2) \\ \\\sf\ \implies:x = 2 \times 3 \\ \\ \boxed{\sf\ \implies:x = 6 }$