Question

Sum of two numbers is 25 and product is 144. Find the difference between the original numbers

Answer 1

a+b=25

ab=144

then by trail and error method the numbers can be

Answer 2

Answer:

Difference between the numbers is

a-b = 7

Step-by-step explanation:

Acc to the question

a+b = 25

a = 25-b

and

ab = 144

Putting the value of a

(25-b)b = 144

25b - b^2 = 144

So we get a quadratic equation as

b^2 -25b +144

by splitting mid term

b^2 -9b -16b +144= 0

Taking common

b (b -9) -16 (b -9) = 0

(b-16)(b-9) =0

b= 16

or

b =9

so putting b as 9

a+9 = 25

a = 25-9 =16

a = 16

b = 9

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