Question

The sum of 2 numbers is 54. Their difference is 116. What are the numbers?

Answer 1

Explanation:

first, let the numbers be x and y.

so by question we have,

x+y=54.......(I)

x-y=116......(I I)

now, solve it through elimination method,

x+y=54

x-y=116

here, y and y cancelled out and we get,

or, x+x=54+116

or, 2x=170

or, x=170/2

therefore, x=85

now put value of x in any equation. let's put in eqn (I), we get,

or, x+y=54

or,85+y=54

or, y=54-85

so, y= -31

therefore, the numbers are 85 and - 31.