Question

The difference of two numbers is 7 and their
product is 170. What are the numbers ?​

Answer 1

Answer:

The two numbers are 17 and 10

Explanation:

Let,

X be the first number and

Y be the second number

Given,

X - Y (difference) = 7

XY (product) = 170

From 1st equation we get,

X - Y = 7

Y = X - 7

substitute Y=X-7 in equation 2 we get,

X(X-7) = 170

$x {}^{2} - 7x = 170 \\ x {}^{2} - 7x - 170 = 0$

Now by using the formula given in the image we get The two numbers as 17 and 10