Question

THE RATIO OF TWO NUMBERS IS 4:5 .ADDING 10 TO EACH ,THEIR RATIO BECOMES 9:11 .FIND THOSE NUMBERS

Answer 1

Its given that:
let 4:5 be-

$4x \: and \: 5x$

$4x + 10 \div 5x + 10 = 9 \div 11$
So,
$44x + 110 = 45x + 90$
$- x = - 20$
$x = 20$
Now,
$4x = 4 \times 20 = 80$
$5x = 5 \times 20 = 100$