Question

(1/10!)+(x/2*11!)=252/12 find x
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Answer 1

SOLUTION

GIVEN

$\displaystyle \sf{ \frac{1}{10!} + \frac{x}{2.11!} = \frac{252}{12!} }$

TO DETERMINE

The value of x

EVALUATION

$\displaystyle \sf{ \frac{1}{10!} + \frac{x}{2.11!} = \frac{252}{12!} }$

$\displaystyle \sf{ \implies \frac{12 \times 11}{12 \times 11 \times 10!} + \frac{6 \times x}{6 \times 2 \times 11!} = \frac{252}{12!} }$

$\displaystyle \sf{ \implies \frac{132}{ 12!} + \frac{6 x}{12!} = \frac{252}{12!} }$

$\displaystyle \sf{ \implies \frac{132 + 6x}{ 12!} = \frac{252}{12!} }$

$\displaystyle \sf{ \implies 132 + 6x = 252 }$

$\displaystyle \sf{ \implies 6x = 120}$

$\displaystyle \sf{ \implies x = 20}$

FINAL ANSWER

The required value of x = 20

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