Question

If a+1/b=1 and b+1/c=1 ,then c+1/a is equal to ​

Answer 1

$\huge\sf\underline{\underline{\pink{ ANSWER:-}}}$

$c + \frac{1}{a} = 1$

$\huge\sf\underline{\underline{\red{ QUESTION:-}}}$

If a+1/b=1 and b+1/c=1 ,then c+1/a is equal to:-

$\sf\underline{\underline{\green{GIVEN:- \: }}}$

$a + \frac{1}{b} = 1$

$b + \frac{1}{c} = 1$

$\sf\underline{\underline{\green{TO \: FIND:- \: }}}$

what is the value of C+1/A=?

$\huge\underline\mathbb{\red S\pink {0} \purple {L} \blue {UT} \orange {1}\green {ON :}}$

$<strong>equation</strong> \: <strong>(1)</strong>$

$\: b + \frac{1}{c \: } = 1 \\ b = 1 - \frac{1}{c}$

$b = c - \frac{1}{c}$

$<strong>equation</strong> \: <strong>(2)</strong>$

$a + \frac{1}{b} = 1$

$<strong>put</strong> \: <strong>the</strong> \: <strong>value</strong> \: <strong>of</strong> \: <strong>b</strong>$

$a + \frac{1}{c - \frac{1}{c} } = 1$

$a + \frac{c}{c - 1} = 1$

$a = 1 - \frac{c}{c - 1}$

$a = c - 1 - \frac{c}{c - 1}$

$a = \: \frac{ - 1}{c - 1}$

$\frac{1}{a} = \frac{c - 1}{ - 1}$

$\frac{1}{a} = 1 - c$

$\frac<strong>{c + 1}{a} = 1</strong>$