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If 2+3/n/3+2/n=5/4, what is the value of n?
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14 Oct 2022, 00:51
14 Oct 2022, 00:51
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If \(\frac{2+\frac{3}{n}}{3+\frac{2}{n}}=\frac{5}{4}\), what is the value of n?
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\(\frac{2}{7}\)
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Re: If 2+3/n/3+2/n=5/4, what is the value of n?
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14 Oct 2022, 01:20
14 Oct 2022, 01:20
1
From LHS; Multiply the numerator and denominator by the LCM of n to obtain:
\frac{2n+3[}{fraction]3n+2 = [fraction]5}4
Cross multiply to obtain: 8n+12 =15n +10
Collect like terms to obtain: 2= 7n
Thus, n= [fraction]2[/fraction]7
\frac{2n+3[}{fraction]3n+2 = [fraction]5}4
Cross multiply to obtain: 8n+12 =15n +10
Collect like terms to obtain: 2= 7n
Thus, n= [fraction]2[/fraction]7
gmatclubot
Re: If 2+3/n/3+2/n=5/4, what is the value of n? [#permalink]
14 Oct 2022, 01:20
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