Question

Rutu multiplied two numbers and got ‒4 as the product. She then subtracted the two numbers and got 5 as the difference. What are the 2 numbers

Answer 1

Given,

ab=−4

a−b=5

⇒a=b+5

(b+5)b=−4

b^2+5b+4=0

(b+1)(b+4)=0

∴b=−1,−4

when b=−1,a=4

when b=−4,a=1