Question

The product of two positive numbers is 15876,one of the number is 9 times the other.find the numbers

Answer 1

x+y=15876  

x=9y

9y+y=15876

10y=15876  

y=1587.6                

x=14288.4

Answer 2

Answer:

let the two numbers be

x and y

now according to the question,

xy=15876

and

x=9y

if we substitute the value of x from eq 2 to eq 1

we will get another eq in single variable

solvint it will get the value of one variable from which we can also find the other one

${(9y)}^{2} = 15876 \\ {y}^{2} = \frac{15876}{81} \\ {y}^{2} = 196 \\ y = 14$

this 14 can be positive or negative

$x = 9\times y \\ x = 9 \times 14 \: \: or \: 9 \times - 14 \\ x = 126 \: \: or \: - 126$

here's your answer!