Math, asked by bibhudattapradh, 1 year ago

sum of two number is 42 and their product is 360. What is their differences?

Answers

Answered by Panzer786
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 ★
Answered by VijayaLaxmiMehra1
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:-)
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