Difference of two whole numbers is 33 and its ratio is 2:5 then find those
numbers.
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2 thoughts on “Difference of two whole numbers is 33 and its ratio is 2:5 then find those<br />numbers.<br />​”

1. Step-by-step explanation:

   let the numbers be x and y

   Given :

   x – y = 33 (eqn no. 1)

   y/x = 2/5 (eqn no. 2)

   x – y = 33

   x = 33 + y

   (substituting the value of x in eqn. no. 2)

   y/x = 2/5

   y/(33+y) = 2/5

   (cross multiplication)

   5y = 2(33+y)

   5y = 66 + 2y

   5y – 2y = 66

   3y = 66

   y = 66/3

   y = 22

   (putting the value of y in eqn no. 1)

   x – y = 33

   x – 22 = 33

   x = 33 + 22

   x = 55

   hence the numbers are 22 and 55

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2. Step by step explanation:

   Let’s assume:

   • Let the first number be 2x.
   • Let the second number be 5x.

   According to the question

   [tex] \: \: \sf \implies \: 5x – 2x = 33 \\ \\ \: \: \sf \implies \: 3x = 33 \\ \\ \: \: \: \: \sf \implies \: \dagger\therefore x = 11[/tex]

   Hence, the value of x is 11.

   Therefore,now put the value to find the numbers

   • First number = 5x = 5 × 11 = 55
   • Second number = 2x = 2 × 11 = 22

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