Question

The denominator of a fraction is greater than its numerator by 8. If the numerator is increased by 17

and the denominator is decreased by 1, the number obtained is 3

2

. Find the fraction.

Answer 1

нєуα

нєяє ιѕ тнє αиѕωєя

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ℓєт тнє иυмєяαтσя вє χ.

ѕσ,

∂єиσмιиαтσя = χ + 8.

α/q

(χ + 17)/(χ + 8 - 1) = 3/2

(χ + 17)(χ + 7) = 3/2

σи ¢яσѕѕ мυℓтιρℓι¢αтισи, ωє gєт

2(χ + 17) = 3(χ + 7)

2χ + 34 = 3χ + 21

χ = 13

иυмєяαтσя = 13

∂єиσмιиαтσя = χ + 8 = 13 + 8 = 21

fяα¢тισи = иυмєяαтσя / ∂єиσмιиαтσя = 13/21

ѕσ тнє fяα¢тισи fσямє∂ ιѕ 13/21.

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нσρє тнιѕ нєℓρѕ.