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Question

What is the value of x in 1+11+⎪ ⎪ ⎪⎪ ⎪ ⎪11+1x⎪ ⎪ ⎪⎪ ⎪ ⎪=117?

A
1
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B
3
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C
12
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D
711
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Solution

The correct option is B 3
1+11+⎢ ⎢ ⎢1(1+1x)⎥ ⎥ ⎥=1171+11+x1+x=117
1+1+x1+x+x=117(1+2x)+(1+x)(1+2x)=117
7(2+3x)=11(1+2x)14+21x=11+22x
x=3

1121902_553099_ans_da0c7eae9db84c2cba066273fed35bd1.jpg

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