Question

The sum of two numbers is 17, if their product is 72. What is the number?​

Answer 1

Answer:

8×9 = 72

8+9 = 17

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Answer 2

Answer:

Step-by-step explanation:

Hey guys

The answer is “8” and “9”

Here's the beautiful answer by factorization

As given by statement

X+Y=17 …………(i)

XY=72 ……………(ii)

So , X=17-Y ……….(by i)

Put it in (ii) so

(17-Y)Y=72

17Y-Y*(2)-72=0

Y*(2)-17Y+72=0

Y*(2)-8Y-9Y+72=0 (by factorization)

Y(Y-8)-9(Y-8)=0

(Y-9)(Y-8)=0

Y-9=0 , Y-8=0

Y=9 , Y=8

Pit them in( X=17-Y)

So,

X=17–9 , X=17–8

Either

X=8 or X= 9

So the numbers are

8 and 9

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