the numerator of a fraction is 4 less than the denominator.if the numerator is decreased by 2 and denominator is increased by 1,then the denominator is eight times the numerator.find the fraction
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i think 3 upon 24 is the right answer
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Given :
→ The numerator of a fraction is 4 less than denominator.if the numerator is decreased by 2 and denominator is increased by 1 then denominator is eight times numerator.
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Find :
→ The fractional form.
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Solution :
→ Let "x/y" be fractional form.
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→ x = y - 4
→ x - y = - 4 -----(1)
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→ 8(x - 2) = y + 1
→ 8x - 16 = y + 1
→ 8x - y = 17 -----(2)
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Subtract the equations:
→ 8x - y = 17
→ -7x = -21
→ x = 21/7 = 3
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Adding "x = 3" in equation (1):
→ 3 - y = - 4
→ y = 3 + 4 = 7
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Therefore ,
→ x = 3
→ y = 7
→ Fractional form = (3/7).
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