Question

Find two numbers that are in the ratio
17:21 and have the sum 228.

small number
big number​

Answer 1

Given -

• Two numbers are in the ratio of 17:21.
• The sum of two numbers is 228.

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To find -

• Two numbers required in the question.

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Solution -

Firstly,

• Let the ratio of numbers be x.

Then,

➝ First number = 17x

➝ Second number = 21x

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It is given in the question that their sum is 228.

Therefore,

➝ 17x + 21x = 228

➝ 38x = 228

➝ x = 228/38

➝ x = 6

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By putting the value of x

➝ First number = 17x = 102

➝ Second number = 21x = 126

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Hence, the required two numbers are 102 and 126 which gives the sum of 228.

Answer 2

Given:-

• The two numbers are in the ratio of 17:21 and have the sum 228.

⠀

To find:-

• The two numbers.

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Solution:-

Let,

• the ratio be 17x and 21x.

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According to the question,

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⇢ 17x + 21x = 228

⇢ 38x = 228

⇢ x = 228/38

⇢ x = 6

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Therefore,

• First number = 17x = 17(6) = 102
• Second number = 21x = 21(6) = 126

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Hence,

• The two numbers are 102 and 126.