Find 2 numbers,
whose sum is 20 and product is 75
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6
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Answered by
11
Heya !!!
Let two numbers are X and Y.
According to question,
X + Y = 20 -------(1)
And,
X × Y = 75---------(2)
From equation (1) we get,
X + Y = 20
X = ( 20 - Y ) -------(3)
Putting the value of X in equation (2)
X × Y = 75
( 20 - Y ) × Y = 75
-Y² + 20Y = 75
Y² - 20Y + 75 = 0
Y² - 15Y - 5Y + 75 = 0
Y ( Y - 15 ) - 5 ( Y - 15 ) = 0
( Y - 15 ) ( Y - 5 ) = 0
( Y - 15 ) = 0 OR ( Y - 5 ) = 0
Y = 15 OR Y = 5
Hence,
Two numbers are 15 and 5.
★ HOPE IT WILL HELP YOU ★
Let two numbers are X and Y.
According to question,
X + Y = 20 -------(1)
And,
X × Y = 75---------(2)
From equation (1) we get,
X + Y = 20
X = ( 20 - Y ) -------(3)
Putting the value of X in equation (2)
X × Y = 75
( 20 - Y ) × Y = 75
-Y² + 20Y = 75
Y² - 20Y + 75 = 0
Y² - 15Y - 5Y + 75 = 0
Y ( Y - 15 ) - 5 ( Y - 15 ) = 0
( Y - 15 ) ( Y - 5 ) = 0
( Y - 15 ) = 0 OR ( Y - 5 ) = 0
Y = 15 OR Y = 5
Hence,
Two numbers are 15 and 5.
★ HOPE IT WILL HELP YOU ★
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