Question

the numerator of a ratinal number is 3 less than the denominatar .if the increase by 5 and numerator by 2 we get the rational number 1/2.find the rational number​

Answer 1

$GOOD \: \: \: MORNING \: \: \\ \\ QUESTION \: \: No \: \: 1 \\ \\ let \: the \: rational \: be \: = \frac{x}{y} \\ \\ ACCORDING \: to \: the \: GIVEN \: \: QUESTION \: \\ \\ x = y - 3 \: \: \: ....Equation \: \: \: i \\ \\ \frac{x + 2}{y + 5} = \frac{1}{2} \\ \\ 2x + 4 = y + 5 \\ \\ 2x - y = 5 - 4 \\ \\ 2x - y = 1 \: \: \: ... \: Equations \: \: ii \\ \\ put \: value \: of \: x \: in \: equation \: ii \: we \: have \\ \\ 2(y - 3) - y = 1 \\ \\ 2y - 6 - y = 1 \\ \\ y - 6 = 1 \\ \\ y = 1 + 6 \\ \\ y = 7 \\ now \: put \: value \: of \: y \: in \: equation \: i \: we \: have \\ \\ x = 7 - 3 \\ \\ x = 4 \\ \\ so \: the \: rational \: number \: is \: \\ \\ \frac{x}{y} = \frac{4}{7}$

Answer 2

Answer:

yx = 74 is the answer

Step-by-step explanation:

x=y−3

y+5

x+2 = 21

2x+4=y+5

2x−y=5−4

2x−y=1

2(y−3)−y=1

2y−6−y=1

y−6=1

y=1+6

y=7

x=7−3

x=4

yx = 74