Question

. Two numbers are in the ratio 1:2. If 3 is added to both,
their ratio becomes 8:13. Find the greater number.​

Answer 1

Answer:

Step-by-step explanation:

let the two numbers be x:2x

x/2x+3=8x/13x

7x/3=8x/13x

13x*7x=8x*3

91x^2=21x

91x^2/21x=0

91x/21=0

91x=21

x=21/91

Answer 2

Ratio of the number = 1:2

Let the common multiple be x

1st number = 1x

2nd number = 2x

ATP

1x+3 = 8

2x+3 13

= 13(1x+3) = 8(2x+3)

= 13x + 39 = 16x + 24

=> 13x - 16x = 24 - 39

=> -3x = -15

=>3x = 15 [Minus sign gets eliminated on both the sides]

=> x = 15/3

=> x = 5

Therefore,

1st number = 1x = 1×5 = 5

2nd number = 2x = 2×5 = 10

Hope this helps you.....