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3 years ago, the ratio of Tina's age to Carl's age was 2:7
Tina is now 15 years old and Carl is now x years old.

Find the value of x

Respuesta :

eunice1234

Answer: x = 45

Step-by-step explanation:

Given information

Tina's age (now) = 15 years old

Carl's age (now) = x years old

Ratio of age (3 years ago) = Tina : Carl = 2 : 7

Set equation according to the given information

(15 - 3) / (x - 3) = 2 / 7

Cross multiply

7 (15 - 3) = 2 (x - 3)

Simplify by subtraction in the parentheses

7 (12) = 2 (x - 3)

Simplify by multiplication

84 = 2 (x - 3)

Divide 2 on both sides

84 / 2 = 2 (x - 3) / 2

42 = x - 3

Add 3 on both sides

42 + 3 = x - 3 + 3

[tex]\boxed{x=45}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Selena328

Answer:

x = 45

Step-by-step explanation:

Let the present age of Carl be x.

Given Tina's present age is 15 and 3 years ago, the ratio of Tina's and Carl's ages was 2:7

Then 3 years ago, Tina's age will be

[tex] \\ 15 - 3 = 12 \: years[/tex]

and, Carl's age will be x - 3

and they are in the ratio 2:7.

therefore,

[tex] \\ \: \: \: \: \: \: \: \: 12 \ratio(x - 3) = 2 \ratio7[/tex]

[tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{12}{x - 3} = \frac{2}{7} [/tex]

[tex] \\ \sf \: by \: cross \: multiplication[/tex]

[tex] \\ \: \: \: \: \: \: 12 \times 7 = 2(x - 3) [/tex]

[tex] \\ \: \: \: \: \: \: x - 3 = \frac{84}{2} = 42[/tex]

[tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: x = 42 + 3[/tex]

[tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \therefore \: \: x = 45[/tex]

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