Question

The ratio of two numbers is 23 and 53 and their sum is 152 find these numbers

Answer 1

let the numbers be x and y
now according to question,
x/y=23/53 =>x=23y/53 ___eq1
x+y=152 ___eq2
putting value of x into eq2
23y/53+y=152
23y+53y/53=152
76y =8056
y =106
now putting the value of y in eq1
x=23×106/53
x=46
hence x=46 and y=106