Question

The ratio of two numbers is 2:3.If both the numbers are increased by 8
their ratio becomes 10:13.Find the numbers.


send the solution in the form of step by step

Answer 1

Answer:

2x=12

3x=18

Step-by-step explanation:

Ratio of the two numbers=2:3

Let the numbers be 2x and3x

After adding 8,

2x+8/3x+8=10/13

After cross multiplication,

13(2x+8)=10(3x+8)

26x+104=30x+80

104-80=30x-26x

24=4x

x=6

2x=12

3x=18

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Answer 2

Step-by-step explanation:

Ratio of the two numbers=2:3

Let the numbers be 2x and3x

After adding 8,

2x+8/3x+8=10/13

After cross multiplication,

13(2x+8)=10(3x+8)

26x+104=30x+80

104-80=30x-26x

24=4x

x=6

2x=12

3x=18