Question

Find two numbers a and b such that ab = 36 and a - b = 5.
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Answer 1

Answer:

a=9 and b=4

Step-by-step explanation:

Factors of 36 are 1,2,3,4,6,9,12,18 and 36.

Among these the difference of 9 and 4 is 5 and their product is 36.

Answer 2

Step-by-step explanation:

a=b+5

b+5×b=36

b^2+5b=36

b^2+5b-36=0

b^2+9b-4b-36=0

b(b+9)-4(b+9)=0

(b+9)(b-4)=0

b=-9,b=4

if be is -9

a=-9+5 =-4

if b is 4

a=9