The difference between two natural numbers is 4 and their product is 221. find the numbers.
Answers
Answered by
19
Answer:
let the two numbers be Xand Y
A/Q-
X - Y = 4
and
XY = 221
Y(4+Y)= 221
Y^2 + 4Y -221= 0
Y^2 +17Y - 13Y - 221 = 0
Y(Y + 17) - 13(Y + 17)=0
(Y-13)(Y+17)=0
Y-13=0 or Y+17= 0
Since Y is natural number so , Y = 13
then X= 17
hence the two natural numbers are 13and17
Answered by
26
Answer:
y+4 = x is one number and x is another number
x-y= 4
xy=221
x=221/y
221/y-y=4
221-y^2=4y
y^2+4y-221=0
y^2+17y-13y-221=0
y(y+17)-13(y+17)=0
y-13(y+17)=0
y-13=0
y=13
y+17=0
y=-17
x=221/y
= -221/17. 221/13
=-13 & 17
sice they are natural numbers , they should be positive
hence if x = 13 , y =17 and vice versa
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