Question

10. The sum of two like fractions is 13/25 while their difference is equal to 1/25
Find the two fractions.
Fraction​

Answer 1

Step-by-step explanation:

$(1) \: x + y = \frac{13}{25} \\(2) \: x - y = \frac{1}{25} \\ (2) \: x = \frac{1 }{25} + y \\ insert \: (2) \: in \: (1) \\ (1) \frac{1}{25} + y + y = \frac{13}{25} \\ 2y = \frac{12}{25} \\ y = \frac{6}{25} \\ x = \frac{1}{25} + y \\ x = \frac{1}{25} + \frac{6}{25} \\ x = \frac{7}{25}$