Question

If sum of two numbers is 10 whereas their difference is 4 , then the greater number is=......​

Answer 1

Heya❤

$x + y = 10 \\ x = 10 - y \: \: \: \: ....(1) \\ x - y = 4 \: \: \: \: ...(2) \\ substitute \: eq.1 \: in \: eq.2 \\ (10 - y) - y = 4 \\ 10 - 2y = 4 \\ 10 - 2y - 4 = 0 \\ - 2y + 6 = 0 \\ 2y = 6 \\ y = 3 \\ \\ substitute \: value \: of \: y \: in \: eq.1 \\ x = 10 - y \\ x = 10 - 3 \\ x = 7$

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Answer 2

Answer:

let two numbers be x, y

x+y=10......... (i)

x-y=4............ (ii)

adding these two equations

2x=14

x=7, which is greater number