Let the number = x
The numerator will become = 52,367 - x
The denominator will become = 47,633 + x
∴ [tex] \frac{52,367 - x}{47,633 + x} = \frac{17}{83} [/tex]
∴ 17 * ( 47,633 + x ) = 83 * ( 52,367 - x )
∴ 17 * 47,633 + 17x = 83 * 52,367 - 83x
∴ 83x + 17x = 83 * 52,367 - 17 * 47,633
∴ 100 x = 3,536,700
∴ x = 3,536,700/100 = 35,367
So, The required number is 35,367
