the product of two numbers is 48 and their sum is 16.Find the numbers
sanskriti1578:
12×4=48 12+4=16
is this right answer
ys
lekin pe meri ma'am ne pura sum kara hua hai ek aisehi question ka
aapne direct karke bata diya ma'am will scold me that kyu tumne sum nahi kiya
u can find number by x and y formula also
ohh okay
Answers
Answered by
44
Let the two numbers be x and y
Given that, x + y = 16 and xy = 48
xy = 48, => x = 48 / y
Substituting x = 48 / y in the equation x + y = 16, we get,
48 / y + y = 16
Taking LCM,
48 + y² / y = 16
48 + y² = 16 y
=> y² - 16y + 48 = 0
=> y² - 12 y - 4 y + 48 = 0
=> y ( y - 12 ) - 4 ( y - 12 ) = 0
=> ( y - 4 ) ( y - 12 ) = 0
=> y = 4, 12
If y = 4, then x = 48 / 4 = 12
If y = 12, then x = 48 / 12 = 4
Hence the two numbers just get interchanged in both cases. Hence the two numbers are 12 and 4.
Answered by
26
let the numbers be x,y.
then xy=48 and x+y = 16
so x and y are factors of 48.
factors of 48 are 1,2,3,4,6,8,12,16,24,48.
if x=12 and y=4 then
xy=48 and
x+y=16
then xy=48 and x+y = 16
so x and y are factors of 48.
factors of 48 are 1,2,3,4,6,8,12,16,24,48.
if x=12 and y=4 then
xy=48 and
x+y=16
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