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the sum of two numbers is 15. one less than three time the smaller is equal to the larger?

Sagot :

NataleighScottlynidn

Problem:

The sum of two numbers is 15. One less than three time the smaller is equal to the larger?

Solution:

Let x be the first number

Then let 3x - 1 be the second number

In representation:

The sum of two numbers is 15

  • (1st) + (2nd) = 15
  • x + (3x - 1) = 15

Solve the value of x which is the first number to the problem equations.

  • x + (3x - 1) = 15
  • 4x - 1 = 15
  • 4x = 15 + 1
  • 4x = 16/4
  • x = 4

Substitute the second number to the first number which is the value of x to the solving the problem equation.

  • 2nd = 3x - 1
  • 2nd = 3(4) - 1
  • 2nd = 12 - 1
  • 2nd = 11

Checking:

Checking the first number and second number if the answer is correct.

  • (1st) + (2nd) = 15
  • x + (3x - 1) = 15
  • (4) + (3(4) - 1) = 15
  • 4 + (12 - 1) = 15
  • 4 + 11 = 15
  • 15 = 15 ✔

Answer:

∴ Therefore, the first number is 4 and the second number is 11 to the sum of two numbers is 15.

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