Question

If the sum of two natural numbers is 8 and their product is 15 find the numbers shor cut trick

Answer 1

if a=8 then b=a-8 then we have two equation two unknown variable we can find it easily quadratic equation is accept here

Answer 2

Let the two numbers be x and y.

A/C,

$\sf{x+y=8\:and\:xy=15}$

$\longrightarrow$$\sf{x(8-x)=15}$

$\longrightarrow$$\sf{{x}^{2}-8x+15=0}$

$\longrightarrow$$\sf{(x-3)(x-5)=0}$

$\longrightarrow$$\sf{x=3\:or\:x=5}$

$\longrightarrow$And y = 5 or y = 3

Hence, the two natural numbers are 3 and 5.