Question

kim is 6years more than twice Timothy's age. 2years ago, Kim was three times as old as Timothy. how old was kim 2years ago?​

Answer 1

Answer:

24 years is the correct answer.

Step-by-step explanation:

Let’s assume timothy’s Age as T and kim’s Age as K

Kim is 6 years more than twice Timothy’s age means, then Kim’s age must be

K = 2T + 6

Before two years Kim’s age must be

(2T + 6) - 2

If Kim was three times as old as Timothy then,

2T + 4 = 3(T - 2)

here T - 2 indicates Timothy’s age before 2 years

So trying to solve the equation

2T + 4 = 3(T - 2)

2T + 4 = 3T - 6

4 + 6 = 3T - 2T

T = 10

Calculating Kim’s age now

K = 2T + 4

= 2(10) + 4

= 20 + 4

K = 24

Kim was 24, 2 years ago and Timothy was 10 .

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Answer 2

Kim = 24 years

Tim = 10

Solution:

Let Tim be x years

Kim is = 6+2x-2

Tim =  x-2

Therefore:

Kim's age = 6+2x-2=3(x-2)

Simplify the equation:

4+2x=3x-6

Substract 2x from both terms(x)

+4 = x-6

Solve for x:

Add 6 to +4

x = 10

That means that Tim's age two years ago is 10

Tim = 10

To find out Kim's, we will use the equation we created earlier and substitute 10 for x.

4+2(x10) = Kim's age

2x10+4 = 24

Therefore Kim's age is 24

Tim = 10 years

Kim = 24 years

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