Question

the sum of 2 numbers is 15. if you double the smaller number and subtract the result from the larger number you get 48. what are the 2 numbers.

Answer 1

let x be one number and y the other

sum of 2 numbers is 15 so

x + y = 15

double the smaller number so 2x

then subtract result from larger number so y - 2x

it says the result is 48 so

y - 2x = 48

so y = 48 + 2x

if i substitute this y in x + y = 15 i will get

x + 48 + 2x = 15
3x + 48 = 15
3x = 15 - 48
3x = -33
x = -11

so that means y = 15 -(-11) = 15 + 11 = 26

got it?