Question

If two numbers are in the ratio of 3 : 4. If 8 is added to both the number, the ratio becomes 5 : 6. Find the numbers
(a) 16 , 12
(b) 18 , 16
(c) 17 , 14
(d) 13 , 12

Answer 1

let x be in the ratio

3x+8/4x+8=5/6

=>(3x+8)6=(4x+8)5

=>18x+48=20x+40

=>48-40=20x-18x

=>8=2x

=>x=4

then the number is 3x:4x=3*4:4*4=12:16