find the rational number whose standard form is 5/7and the sum of its numerator and denominator is 36
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let numerator be x and denominator be y
then fraction be x/ y
according to condition 1
x /y = 5/7
7 x = 5y
x = 5y/ 7 .......(1)
according to condition ...(2)
x + y =36 ....... (2)
put value of x in equation 2
5y / 7 +y = 36
5 y + 7 y = 36 * 7
12 y = 36 * 7
y = 36 * 7 / 12
y = 21
then x = 15
Step-by-step explanation:
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