Question

The sum of the two numbers m and n is 5760, and the difference is one-third of the greater number. Which is the greater number?

Answer 1

Answer:

m = 3456, n = 2304

[MARK THE ANSWER AS BRAINLIEST]

Step-by-step explanation:

$m + n = 5760 \\ m - n = \frac{m}{3} \\ adding \: the \: equation \\ 2m \: = 5760 + \frac{m}{3} \\ \frac{5m}{3} = 5760 \\ m = 1152 \times 3 = 3456 \\ keeping \: the \: value \: of \: m \: in \: 1st \: equation \\ 3456 + n = 5760 \\ n \: = 5760 - 3456 = 2304$