Math, asked by amrit673, 3 months ago

The ratio of two number are 5:6. When 5 subtracted from both ratio become 4:5. Find the numbers

Answers

Answered by pandaXop
13

Numbers = 25 & 30

Step-by-step explanation:

Given:

  • Ratio of two numbers is 5:6.
  • After subtracting 5 from both ratio becomes 4:5.

To Find:

  • Find the two numbers ?

Solution: Let the two numbers be x and y respectively. Therefore,

➼ 1st number/2nd number = 5/6

➼ x/y = 5/6

➼ 6x = 5y

➼ x = 5y/6ㅤㅤㅤㅤㅤ(eqⁿ i )

A/q , subtracting 5 from both numbers.

  • 1st number = (x – 5)

  • 2nd number = (y – 5)

  • New ratio = 4:5

\implies{\rm } (x 5)/(y 5) = 4/5

\implies{\rm } 5(x 5) = 4(y 5)

\implies{\rm } 5x 25 = 4y 20

\implies{\rm } 5(5y/6) 4y= 20 + 25

\implies{\rm } 25y/6 4y = 5

\implies{\rm } 25y 24y/6 = 5

\implies{\rm } y = 30

So one number is 30. Now put the value of y in eqⁿ i.

➬ x = 5 × 30/6

➬ x = 5 × 5

➬ x = 25

Hence, second number is 25.

Answered by CopyThat
6

Answer:

25and 30 are the required numbers.

Step-by-step explanation:

Given :-

Ratio of two numbers = 5 : 6

When 5 is subtracted from both, the ratio = 4 : 5

To find :-

The two numbers

Solution :-

Let the first number be x and second number be y.

ATP,

  • x/y - 5 : 6
  • x/y = 5/6

Cross multiply,

  • x = 5y/6

ATP,

When 5 is subtracted from both the numbers, ratio = 4 : 5

  • x - 5
  • y - 5

ATP,

  • (x - 5)/(y - 5) = 4/5

Cross multiply,

  • 5x - 25 = 4y - 20

Substitute x = 5y/6 here,

  • 5(5y/6) - 4y= - 20 + 25
  • 25y - 24y/6 = 5
  • y = 30

Hence, the numbers are,

  • x (5y/6) = 25
  • y = 30
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