Question

the sum of 2 numbers is 50. if the larger number is divided by the smaller number we get quotient as 2 and remainder as 3.Find the numbers

Answer 1

x + y = 50 or x = 50-y

x/y = 2 + 3/y now substitute x = 50-y

(50-y)/y = 2 + 3/y multiply equation by y

50-y = 2y + 3

47= 3y
Y = 47/3

X = 50 - y
= 50 - 47/3
= 103/3

Answer 2

let the two numbers be x and y ;
x+y = 50
x = 50-y

x = 2y +3

50-y = 2y+3
47 = 3y
y = 15.66

x = 50-15.66
x = 34.34


hence the required numbers are 15.66 and 34.34