• Math

  Algebra

  Posted by Shruti Sethi on June 22, 2023 at 3:30 pm

  The sum of a and b is 60 and a:b is 3:2.

  Find a and b.

  Omprakash replied 1 year, 8 months ago 2 Members · 1 Reply
• 1 Reply

• 

  Omprakash

  Member

  June 22, 2023 at 3:32 pm

  To find the values of a and b when the sum of a and b is 60 and their ratio is 3:2, we can set up a system of equations and solve for the variables.

  Let’s denote a as 3x and b as 2x, where x is a common factor.

  Given: a + b = 60 (Equation 1) a:b = 3:2 (Equation 2)

  Substituting the values of a and b in Equation 1: 3x + 2x = 60

  Combining like terms: 5x = 60

  Dividing both sides by 5: x = 12

  Now, substitute the value of x back into the expressions for a and b: a = 3x = 3 * 12 = 36 b = 2x = 2 * 12 = 24

  Therefore, the values of a and b are: a = 36 b = 24

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