Question

State a number when multiplied by itself exceeds half a century by a dozen plus 2?

Answer 1

Let the number be 'x'.

Half a century is 50 and a dozen is 12.
Now forming the equation,

${x}^{2} = 50 + 12 + 2 \\ {x}^{2} = 64 \\ x = \pm8$

Answer 2

The number is 8

Step-by-step explanation:

Let the number be x

Number multiplied by itself = $x \times x = x^2$

half of century =$\frac{100}{2} = 50$

We are given that a number when multiplied by itself exceeds half a century by a dozen plus 2

1 dozen = 12

ATQ

$x^2-50=12+2\\x^2 = 50+12+2\\x^2=64\\x=\sqrt{64}$

x=8

Hence The number is 8

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