Question

Write two positive whole numbers whose product is 4290 and difference is23

Answer 1

let the numbers be x and y respectively.

A.T.Q,

x - y = 23

xy = 4290

y = 4290/x -----(i)

x - y = 23

x - 4290/x = 23 { from (i) }

x² - 4290 = 23x

x² - 23x - 4290 = 0

x² - 78x + 55x - 4290 = 0

x( x - 78) + 55 ( x - 78) = 0

(x - 78) ( x + 55 )

Since , we are asked for positive whole numbers so x = -55 is neglected.

x = 78

x - y = 23

78 - y = 23

y = 78 - 23

y = 55

Therefore, Required numbers are 78 and 55.