Question

7. A rational number is such that its denominator is twice its numerator.
If both the numerator and the
denominator are increased by 13, the rational number becomes
2/3 in the simplest form. find the rational number.
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Answer 1

$GOOD \: \: MORNING \: \\ \\ QUESTION \: \: No \: \: 7 \\ \\ let \: the \: required \: rational \: fraction \: \\ be \: = \frac{x}{y} \\ \\ ACCORDING \: to \: the \: GIVEN \: \: QUESTION \: \\ \\ y = 2x \: \: \: Equation \: \: \: i \\ \\ \frac{x + 13}{y + 13} = \frac{2}{3} \\ \\ \\ 3x + 39 = 2y + 26 \\ \\ 3x - 2y = 26 - 39 \\ \\ 3x - 2y = - 13 \\ \\ 2y - 3x = 13 \: \: \: ....Equation \: \: \: ii \\ \\ put \: value \: of \: y \: in \: \: equation \: ii \: \\ we \: have \\ \\ 2(2x) - 3x = 13 \\ \\ 4x - 3x = 13 \\ \\ x = 13 \\ now \: put \: value \: of \: y \: in \: equation \: i \: \\ we \: have \: \: \\ \\ y = 2(13) \\ \\ y = 26 \\ \\ so \: the \: required \: fraction \: is \: \: \\ \\ \frac{x}{y} = \frac{13}{26} \\ \\ \frac{x}{y} = \frac{13}{13 \times 2} \\ \\ \frac{x}{y} = \frac{1}{2}$

Answer 2

Answer:

answer is in the pic dear