the difference between of two numbers is 15 and their ratio is 3:2 . find the number​

2 thoughts on “the difference between of two numbers is 15 and their ratio is 3:2 . find the number​”

1. Given :-

   • We have been given that ratio of two numbers is 3:2
   • Difference of the given two numbers is 15

   To Find :-

   • We have to find the given numbers

   How to Solve :-

   • Write the two given numbers in form of an unknown variable x
   • Apply the given conditions in the Question and form Equations
   • Simplify the equation so formed , and find the value of variable
   • Put the value of variable in the numbers

   ____________________

   [tex]\\[/tex]

   Solution :-

   Since , we have been given that ratio of two given numbers is 3:2

   ● Let the first number = 3x

   ● Second number = 2x

   According to the Question

   Difference of both the numbers is 15

   [tex]\longrightarrow \boxed{\sf{Difference \: of \: Numbers = 15}}[/tex]

   [tex]\longrightarrow \sf{3x – 2x = 15}[/tex]

   [tex]\longrightarrow \underline{\boxed{\sf{x = 15}}}[/tex]

   Hence, value of x comes out 15

   [tex]\\[/tex]

   Putting value of x in assumed numbers

   First number [tex]\sf{= 3x = 3 \times 15 = 45}[/tex]

   Second number [tex]\sf{= 2x = 2 \times 15 = 30}[/tex]

   Hence, two numbers are 45 and 30

   [tex]\underline{\boxed{\sf{\blue{First \: Number = 45}}}}[/tex]

   [tex]\underline{\boxed{\sf{\blue{Second \: Number = 30}}}}[/tex]

   [tex]\\[/tex]

   Verification :-

   [tex]\sf{● \: Ratio = \dfrac{45}{30} = \dfrac{3}{2}}[/tex]

   Ratio of two numbers comes out 3:2

   [tex]\sf{● \: Difference = 45 – 30= 15}[/tex]

   Difference of two numbers is 15

   [tex]\\[/tex]

   [tex]\large{\boxed{\gray{\bf{Hence \: Verified}}}} \: \: \: ✓[/tex]

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2. Step-by-step explanation:

   let 3x and2x

   difference of two no. is 15

   3x-2x=25

   X=25

   3x=3*25=75

   2x=2*25=50

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