sum of two number is 42 and their product is 360. What is their differences?
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Answered by
9
Heya !!!
Let two numbers be X and Y .
According to question,
Sum of two numbers = 42
X + Y = 42 ------(1)
And,
Product of two numbers = 360
X × Y = 360. --------(2)
From equation (1) we get,.
X + Y = 42
X = 42-Y ---------(3)
Putting the value of X in equation (2)
X × Y = 360
( 42-Y) × Y = 360
-Y² + 42Y = 360
Y² - 42Y + 360 = 0
Y² - 30Y - 12Y + 360 = 0
Y ( Y - 30 ) - 12 ( Y - 30 ) = 0
( Y - 30 ) ( Y - 12) = 0
Y = 30 OR Y = 12
Two numbers are 30 and 12 .
Therefore,
Difference of two numbers = 30 - 12 = 18
★ HOPE IT WILL HELP YOU ★
Let two numbers be X and Y .
According to question,
Sum of two numbers = 42
X + Y = 42 ------(1)
And,
Product of two numbers = 360
X × Y = 360. --------(2)
From equation (1) we get,.
X + Y = 42
X = 42-Y ---------(3)
Putting the value of X in equation (2)
X × Y = 360
( 42-Y) × Y = 360
-Y² + 42Y = 360
Y² - 42Y + 360 = 0
Y² - 30Y - 12Y + 360 = 0
Y ( Y - 30 ) - 12 ( Y - 30 ) = 0
( Y - 30 ) ( Y - 12) = 0
Y = 30 OR Y = 12
Two numbers are 30 and 12 .
Therefore,
Difference of two numbers = 30 - 12 = 18
★ HOPE IT WILL HELP YOU ★
Answered by
5
Let the two numbers be x and y
A/q Sum of two numbers = 42
x + y = 42----------(i)
Product of zeroes = 360
x × y = 360---------(ii)
From eq'n (i)
x + y = 42
x = 42 - y
Put the value of x= 42 - y in eq'n (ii)
x × y = 360
=> (42 - y) × y = 360
=> -y^2 + 42y = 360
=> y^2 - 42y + 360 = 0
=> y^2 -30y - 12y + 360 = 0
=> y (y-30) - 12 ( y - 30) = 0
=> (y - 30)(y - 12)
=> y = 30 OR y = 12
Hence the two numbers are 30 and 12
And their Difference = 30 - 12 = 18.
Hope it helps you:-)
A/q Sum of two numbers = 42
x + y = 42----------(i)
Product of zeroes = 360
x × y = 360---------(ii)
From eq'n (i)
x + y = 42
x = 42 - y
Put the value of x= 42 - y in eq'n (ii)
x × y = 360
=> (42 - y) × y = 360
=> -y^2 + 42y = 360
=> y^2 - 42y + 360 = 0
=> y^2 -30y - 12y + 360 = 0
=> y (y-30) - 12 ( y - 30) = 0
=> (y - 30)(y - 12)
=> y = 30 OR y = 12
Hence the two numbers are 30 and 12
And their Difference = 30 - 12 = 18.
Hope it helps you:-)
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