Question

Sum of two numbers is 2496. if 6.5% of one number is equal to 8.5% og other number. find the numbers.

Answer 1

x + y = 2496
6.5x/100=8.5y/100
6.5x=8.5y
13x=17y
13x-17y=0

$17x + 17y = 17 \times 2496 \\ 13x - 17y = 0 \\ adding \: both \: equations \:we \: get \: \\ 30x = 17 \times 2496 \\ x = 17 \times 2496 \div 30 = 1414.4 \\ y = 1081.6$