Question

Difference between two numbeas is 4 and the difference
between their squares
their squares is 80.Find the number?​

Answer 1

$x - y = 4 \\ = > x = y + 4 \\ x {}^{2} - y {}^{2} = 80 \\ = (x + y)(x - y) = 80 \\ = > (x + y) \times 4 = 80 \\ = > x + y = 20 \\ so \\ x - y + (x + y) = 4 + 20 \\ = > 2x = 24 \\ = > x = 12 \\ so \\ y = 12 - 4 \\ = 8$