Question

two numbers are in ratio of 2:3. their difference is 32. find the numbers.

Answer 1

Answer :-

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Given ,

• The ratio of two numbers is 2 : 3

• The difference between the numbers is 32

To find ,

• The numbers

Now ,

Let the numbers be 2a and 3a

So , according to the question ,

3a - 2a = 32

a = 32

•°• a = 32

So , the first number is ( 2a ) = 2 × 32 = 64

And , the second number is ( 3a ) = 3 × 32 = 96

So , the numbers are 64 and 96.

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Answer 2

$\Huge Answer:$


$ratio = 2:3$


$\large let \: \: the \: \: common \: \: ratio \: \: be \\ x. \\ \\ then \: \: the \: \: ratio \: will \: be \: 2x:3x.$



$3x - 2x = 32. \\ x = 32.$


$\therefore \: 2x = 2(32) = 64. \\ \: \: \: \: \: 3x = 3(32) = 96.$


$\huge{\boxed{1st \: \: number = 64}} \\ \huge{\boxed{2nd \: \: number = 96}}$