Question

What 2 numbers have the sum of 10 but the difference of 4?

Answer 1

Answer:

$let \: the \: two \: numbers \: be \: a \: and \: b \\ given \: that \\ a + b = 10 \: \: ...........(i) \: \\ a - b = 2 \: \: ...........(ii) \\ add \: eq(i) \: and \: (ii) \: we \: get \\ (a + b) + (a - b) = 10 + 2 \\ 2a = 12 \\ a = \frac{12}{2} = 6 \\ if \: a = 6 \: \: then \\ b = (10 - a) \: or \: - (2 - a) \\ < < take \: any \: one > > \\ b = 10 - 6 = 4$