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let the numerator be x and denominator be y
therefore, fraction = x / y
x - 1/y + 2 = 1/2
2x - 2 = y + 2
2x - y = 4.....(1)
now,
x - 7/y - 2 = 1/3
3x - 21 = y - 2
3x - y = 19.....(2)
subtract equation (2) from (1)
2x - y = 4
3x - y = 19
- + -
- x = - 15
x = 15
put x = 15 in equation (1)
2x - y = 4
2 × 15 - y = 4
30 - y = 4
- y = 4 - 30
-y = - 26
y = 26
hope it helps you.....
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