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Nezavi [6.7K]
3 years ago
8

If now Lina is three times as old as Nick, and in 6 years she will be twice as old as he, how old are they now?\

Mathematics
1 answer:
Kitty [74]3 years ago
8 0

Answer:

Step-by-step explanation:

Nick's age = x years

Lina's age =3*x = 3x

After 6 years,

Lina's age = 3x + 6

Nick's age = x + 6

3x + 6 = 2*(x+6)

3x + 6 = 2*x + 2*6

3x + 6 = 2x + 12      {Subtract 6 form both sides}

3x +6 - 6 = 2x + 12 - 6

3x  = 2x + 6    {subtract 2x from both sides}

3x - 2x = 2x + 6 - 2x

x = 6

Nick's age = 6 years

Lina's age =3*6 = 18 years

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<em>Write the verbal statement as an equation using x as a variable. Then solve. 2 more than 3 times a number is 17. </em>

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The required expression is 3x + 2 = 17 and the value of x is 5

Let the unknown number be x

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If the result is equivalent to 17, the required expression will be 3x + 2 = 17

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3x = 15

x = 15/3

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Hence the required expression is 3x + 2 = 17 and the value of x is 5

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