Question

What is the two integers which sum is 11 and product is 30

Answer 1

Answer:

Therefore the numbers are 5 and 6.

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Answer 2

Answer:

This we are doing from chilhood .

Let be two numbers a,b

According to question

a+b=11. — —Equ.1

a *b=30 --------- Equ2

As we know sign changes as moves our variable or number from r.h.s to L.h.s

Thus,

a=11-b. __from equ1

Put it into equ2

(11-b)*b=30

11b-b²=30

b²-11b+30=0

Now, we are at the stage where we have to use factorial .

b²-6b-5b+30=0

Takeout common from above equation.

b(b-6)-5(b-6)

b-5=0 ,b-6=0

b=5, b=6

Hence we get the value of b Now we are at the stage of putting value of it into equation 1

a+b=11

a+5=11

a=11–5

a=6

When a=6 b will be 5, and vice versa.

Hence we get two two value for a and b