Question

the ratio of two number is 5:7 IF 40 is qdded in each number ,then the ratio becomes 25:31 Find the number​

Answer 1

Given:-

• The ratio of two numbers is 5:7.
• 40 is added in each number.
• The ratio will be 25:31.

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To find:-

• The numbers.

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Solution:-

★ In this question we have given the ratio of two numbers is 5:7 and when 40 is added in each number the ratio will be 25:31. We have to find out the numbers. Let's do it.

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Let,

• the first first number be 5x and second number be 7x.

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According to the question,

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⇢ 5x + 40/7x + 40 = 25/31

⇢ 31(5x + 40) = 25(7x + 40)

⇢ 155x + 1240 = 175x + 1000

⇢ 175x - 155x = 1240 - 1000

⇢ 20x = 240

⇢ x = 12

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Therefore,

• First number = 5 × 12 = 60
• Second number = 7 × 12 = 84

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Hence,

• The numbers are 60 and 84.

Answer 2

A N S W E R :

• The numbers are 60 & 84.

Given :

• The ratio of two number is 5 : 7

• 40 is added in each number

• The ratio will be 25 : 31

To find :

• Find the numbers ?

Solution :

• Let the number be x

Then,

• Two numbers be 5x, 7x

• 40 is added to each number then number is

=> 5x + 40

=> 7x + 40

Now, We have,

• Their ratio,

=> 5x + 40/7x + 40 = 25/31

=> 32(5x + 40) = 25(7x + 40)

=> 155x + 1240 = 175x + 1000

=> 175x - 155x = 1240 - 1000

=> 20x = 240

=> x = 240/20

=> x = 12

Therefore,

• The numbers are -

=> 5x = 5 × 12 = 60

and

=> 7x = 7 × 12 = 84

Hence,

• The numbers are 60 & 84.