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