1.

The difference between two positive integer is 75. The ratio of these integers is 7 : 4. Find the integers.

Answer»

Answer :

The two positive integers are 175 and 100.

Step-by-step explanation :

Given,

  • The difference between two positive INTEGER is 75
  • The ratio of these integers is 7 : 4

To FIND,

  • The integers

Solution,

⇒  The ratio of the two integers = 7 : 4

Let the two positive integers be 7x and 4X

The larger NUMBER = 7x

The smaller number = 4x

⇒  The difference between them = 75

      7x - 4x = 75

        3x = 75

        x = 75/3

         x = 25

=> 7x = 7(25) = 175

=> 4x = 4(25) = 100

Therefore, the two positive integers are 175 and 100

Verification :

  • The two positive integers are 175 and 100

[I] The difference between two positive integer is 75

            175 - 100 = 75

                75 = 75

               LHS = RHS

[II] The ratio of these integers is 7 : 4

          175 : 100 = 7 : 4

       25(7) : 25(4) = 7 : 4

           7 : 4 = 7 : 4

           LHS = RHS

Hence verified!!


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