<u>Answer:</u> The first number is 2, the second number is 3 and the third number is -2
<u>Step-by-step explanation:</u>
Let the first number be 'x', the second number be 'y' and the third number be 'z'
The equations according to the question becomes:
⇒ x + y + z = 3 ....(1)
⇒ x - y + z = -3 ....(2)
⇒ x - z = 1 + y ....(3)
Rearranging equation 3:
⇒ x - y = 1 + z .....(4)
Putting in equation 2:
⇒ 1 + z + z = -3
⇒ 1 + 2z = -3
⇒ z = -2
Putting this value in equation 4 and equation 1, we get:
⇒ x - y = -1
⇒ x + y = 5
Cancelling 'y' by eliminiation method and equation becomes:
⇒ 2x = 4
⇒ x = 2
Putting value of 'x' and 'z' in equation 1:
⇒ 2 + y - 2 = 3
⇒ y = 3
Hence, the first number is 2, the second number is 3 and the third number is -2
