Question

If the sum of two numbers is 31 and their product is 210, then find the absolute difference between the numbers

Answer 1

Let the numbers be x and y.
Given that

Answer 2

Concept Introduction:

The result or solution after combining extra or even more numbers or words is known as the sum in mathematics. Thus, the sum is a matter of bringing things together. In other words, adding two values combined creates a new outcome or total.

Given, that the sum of two numbers is $31$ and their product is $210$.

To find, the absolute difference between the numbers.

Solution:

Let the numbers are x and y

According to the formula,

$4xy = ( x+y )$² - $( x-y )$²

$4$ ×$210$ = $( 31 )$² - $( x-y)$²

$x-y = 11$

Final Answer:

The final answer is $11$.

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