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k 3.k+k+k=24 K+L=25 L−M=8 1+K+M=?

Mathematics

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Answer

1+K+M=181 + K + M = 18

Step-by-step solution

4 steps

Here are the given equations:

  1. K+K+K=24K + K + K = 24
  2. K+L=25K + L = 25
  3. L−M=8L - M = 8
  4. 1+K+M=?1 + K + M = ?

  1. Solve the first equation for K.

    K+K+K=24K + K + K = 24 3K=243K = 24

    Divide both sides by 3:

    K=243K = \frac{24}{3} K=8K = 8

  2. Substitute the value of K into the second equation to solve for L.

    K+L=25K + L = 25 8+L=258 + L = 25

    Subtract 8 from both sides:

    L=25−8L = 25 - 8 L=17L = 17

  3. Substitute the value of L into the third equation to solve for M.

    L−M=8L - M = 8 17−M=817 - M = 8

    Subtract 17 from both sides:

    −M=8−17-M = 8 - 17 −M=−9-M = -9

    Multiply both sides by -1:

    M=9M = 9

  4. Substitute the values of K and M into the expression 1+K+M1 + K + M.

    1+K+M=1+8+91 + K + M = 1 + 8 + 9 1+8+9=181 + 8 + 9 = 18

    The values are:
    K = 8
    L = 17
    M = 9

    The final expression evaluates to:

    1+K+M=181 + K + M = \boxed{18}
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