Simplification Test 5

Question : 38 of 40

Marks: +1, -0

37/13=2+1/{x+1/{y+1/z}}

; where x, y and z are natural numbers, then x, y, z are:

Solution:

2+1/{x+1/{y+1/z}}=37/13

⇒ 1/{x+1/{y+1/z}}=37/13-2

⇒ {x+1/{y+1/z}}=13/11

⇒ {x+1/{y+1/z}}=1+2/11

Then,

x = 1

y+1/z=11/2

⇒y+1/z=5+1/2

Hence, y = 5, z = 2
Therefore, x = 1, y = 5, z = 2

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