A fraction become 1/3 when 1 is subtracted from the numerator and it become 1/4 when 8 is added to it's denominator. Find the fraction.
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A fraction become 1/3 when 1 is subtracted from the numerator and it become 1/4 when 8 is added to it's denominator. Find the fraction.
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Given :
A fraction become 1/3 when 1 is subtracted from the numerator and it become 1/4 when 8 is added to it's denominator.
To find :
Solution :
A fraction become 1/3 when 1 is subtracted from the numerator
→ x - 1/y = ⅓
→ 3(x - 1) = y
→ 3x - 3 = y
→ 3x - y = 3 ----(i)
It become 1/4 when 8 is added to it's denominator.
→ x/y + 8 = ¼
→ 4x = y + 8
→ 4x - y = 8 -----(ii)
Subtract both the equations
→ 3x - y - (4x - y) = 3 - 8
→ 3x - y - 4x + y = - 5
→ - x = - 5
→ x = 5
Put the value of x in eqⁿ (ii)
→ 4x - y = 8
→ 4 × 5 - y = 8
→ 20 - y = 8
→ y = 20 - 8
→ y = 12
•°• Required fraction = x/y = 5/12
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