SOLUTION: 1. Mike is 20 cm shorter than Tim 2. Jane is 25 cm taller than Tim 3. Jill is 21 cm shorter than Jack 4. Tom is 38 cm taller than Mike 5. Jake is 36 cm shorter than Mark 6. Ma

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Question 696847: 1. Mike is 20 cm shorter than Tim
2. Jane is 25 cm taller than Tim
3. Jill is 21 cm shorter than Jack
4. Tom is 38 cm taller than Mike
5. Jake is 36 cm shorter than Mark
6. Mark is 8 cm taller than Jane
7. Jill is 11 cm shorter than Jake
8. Tom is 183 cm tall
How tall is Jack?
Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
1. Mike is 20 cm shorter than Tim
2. Jane is 25 cm taller than Tim
3. Jill is 21 cm shorter than Jack
4. Tom is 38 cm taller than Mike
5. Jake is 36 cm shorter than Mark
6. Mark is 8 cm taller than Jane
7. Jill is 11 cm shorter than Jake
8. Tom is 183 cm tall

How tall is Jack?

Rearrange the sentences.

We go from the sentence about Tom only, 8
to the sentence about Tom & Mike, 4
to the sentence about Mike & Tim, 1
to the sentence about Tim & Jane, 2
to the sentence about Jane & Mark, 6
to the sentence about Mark & Jake, 5
to the sentence about Jake & Jill, 7
to the sentence about Jill & Jack, 3


8. Tom is 183 cm tall
4. Tom is 38 cm taller than Mike

So 183 cm is 38 cm taller than Mike,
So Mike is 183-38 cm or 145 cm

1. Mike is 20 cm shorter than Tim

So 145 cm is 20 cm shorter than Tim
So Tim is 145+20 cm or 165 cm

2. Jane is 25cm taller than Tim

So Jane is 25cm taller than 165 cm
So Jane is 165+25 cm = 190 cm

6. Mark is 8 cm taller than Jane

So Mark is 8 cm taller than 190 cm
So Mark is 190+8 cm = 198 cm

5. Jake is 36 cm shorter than Mark

So Jake is 36 cm shorter than 198 cm
So Jake is 198-36 cm = 162 cm

7. Jill is 11 cm shorter than Jake

So Jill is 11 cm shorter than 162
So Jill is 162-11 cm = 151 cm

3. Jill is 21 cm shorter then Jack

So 151 cm is 21 cm shorter then Jack
So Jack is 151+21 cm = 172 cm

Edwin
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

1. Mike is 20 cm shorter than Tim
2. Jane is 25 cm taller than Tim
3. Jill is 21 cm shorter than Jack
4. Tom is 38 cm taller than Mike
5. Jake is 36 cm shorter than Mark
6. Mark is 8 cm taller than Jane
7. Jill is 11 cm shorter than Jake
8. Tom is 183 cm tall
How tall is Jack?

Let Tim’s height be T
Then Mike’s is: T – 20 cm

Let Jack’s be J
Then Jill’s is: J - 21 cm

Jane’s is: T + 25 cm
Tom’s is: T – 20 + 38, or T + 18 cm

Let Mark’s height be M
Then Jake’s is: M – 36 cm
Also, M = T + 25 + 8, or M = T + 33 cm
J – 21 = M – 36 – 11, or M = J – 21 + 47, or M = J + 26 cm

Since Tom is 183 cm tall, then T + 18 = 183 ---- T, or Tim is 183 – 18, or 165 cm
Since M = T + 33, and M = J + 26, then: T + 33 = J + 26
165 + 33 = J + 26 ------ Substituting 165 for T
J, or Jack’s height = 198 – 26, or cm

You can do the check!!

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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