Question

Two numbers are respectively 15% and 20% more than a third number. the ratio of the two numbers is:

Answer 1

23:24
For example, take 100
1st no. will be 115
2nd will be 120
115/120 = 23/24
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Answer 2

Answer:

23:24

Step-by-step explanation:

Let the third number be x

First number is 15% more than third number

So, First number = $x+15\% \times x =x+\frac{15}{100}x=\frac{115}{100}x$

Second number is 20% more than third number

So, Second number = $x+20\% \times x =x+\frac{20}{100}x=\frac{120}{100}x$

Now the ratio of the two numbers is:

$\frac{\frac{115}{100}x}{frac{120}{100}x}$

$\frac{115}{120}$

$\frac{23}{24}$

Hence  the ratio of the two numbers is 23:24