Question

Find two numbers if their sum is 6.1 and their difference is 1.6

Answer 1

Hey user!!

your answer is here...

let the two numbers be x and y.

ATQ, their difference is 1.6

therefore x - y = 1.6

x = y + 1.6

sum of the two numbers = 6.1

==> x + y = 6.1

==> y + 1.6 + y = 6.1

==> 2y + 1.6 = 6.1

==> 2y = 6.1 - 1.6

==> 2y = 4.5

==> y = 4.5/2

==> y = 2.25

hence,

first number = x = y + 1.6

= 2.25 + 1.6

= 3.85

second number = y

= 2.25

cheers!!

Answer 2

For this case, the first thing we must do is define variables:
 x: unknown number (1)
 y: unknown number (2)
 We now write the equations that model the problem:
 their sum is 6.1:
 $x + y = 6.1$
 their difference is 1.6:
 $x - y = 1.6$
 Solving the system we have:
 We add both equations:
 $x + x = 6.1 + 1.6 2x = 7.7 x = 7.7 / 2 x = 3.85$
 Then, we look for the value of y using any of the equations:
 $x - y = 1.6 y = x - 1.6 y = 3.85 - 1.6 y = 2.25$
 Answer:
 The numbers are:
 $x = 3.85 y = 2.25$