Question

The difference of two positive whole numbers is 3 and the sum of their square is 117;by calculating,let us write the two numbers.

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Answer 1

Answer:

$9 \:and \: 6$

Step-by-step explanation:

$let \: the \: number \: is \: x \: and \: y \\ according \: to \: question\\ x - y = 3 \\ {x}^{2} + {y }^{2} = 117 \\ {(x - y)}^{2} = {(3) }^{2} \\ {x}^{2} + {y}^{2} - 2xy = 9 \\ 117 - 2xy = 9 \\ 2xy = 108 \\ {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ = 117 + 108 \\ = 225 \\ x + y = 15$

$now \: solving \: equation \\ x + y = 15 \\ x - y = 3 \\ adding \: both \: equation \: \\ 2x = 18 \\ x = 9 \\ subtracting \: both \: equation \\ 2y = 12 \\ y = 6$

Answer 2

Answer:

The Panchayat is chaired by the president of the village, known as a Sarpanch. The term of the elected representatives is five years. The Secretary of the Panchayat is a non-elected representative, appointed by the state government, to oversee Panchayat activities.