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adell [148]
3 years ago
14

Katie's age is two times Thomas age. The sum of their ages is 33. What is Tomas age?

Mathematics
2 answers:
s2008m [1.1K]3 years ago
7 0
Kate :22 Thompson : 11
ddd [48]3 years ago
5 0
Katie's age is 22 and Thomas's is 11
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tresset_1 [31]

Answer: AC : BC = 22 : 33 = 2 : 3

Step-by-step explanation:

Since we have given that

AB = 3x-4

AC= 2x+12

BC = 7x-2

And AB: AC = 1 : 2

and To show : AC : BC = 2 : 3

So, it becomes ,

\dfrac{AB}{AC}=\dfrac{3x-4}{2x+12}=\dfrac{1}{2}\\\\2(3x-4)=2x+12\\\\6x-8=2x+12\\\\6x-2x=12+8\\\\4x=20\\\\x=\dfrac{20}{4}\\\\x=5

So, AC: BC becomes:

\dfrac{AC}{BC}=\dfrac{3x-4}{7x-2}=\dfrac{2(5)+12}{7(5)-2}=\dfrac{22}{33}=\dfrac{2}{3}

Hence, proved.

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3 years ago
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Gary's unpaid credit card balance is 2543.32. His APR is 17.4%, and he made one new translation for 320
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48 cubed as product of prime
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4 years ago
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