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blsea [12.9K]
3 years ago
9

The ratio of the present age of mother and daughter is 3:1. Six years ago the ratio of their age was 6 : 1. Find their present a

ge.​
Mathematics
1 answer:
bezimeni [28]3 years ago
5 0

Answer:

30 and 10

Step-by-step explanation:

Given ratio of age = 3 : 1 = 3x : x ( x is a multiplier )

Six years ago their age ratio was

3x - 6 : x - 6 = 6 : 1 ← express in fractional form

\frac{3x-6}{x-6} = \frac{6}{1} ( cross- multiply )

6(x - 6) =3 x - 6

6x - 36 = 3x - 6 ( subtract 3x from both sides )

3x - 36 = - 6 ( add 36 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Thus their present ages are

mother = 3x = 3 × 10 = 30

daughter = x = 10

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Determine la ecuación general de la recta que pasa por los puntos (1,4); (- 2, - 5) y grafíquela.
Rudiy27

The equation of the line that passes through the points (1 , 4) and (-2, -5) is y = 3x + 1

<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

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Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

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Let :

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To find the straight line equation, the following formula can be used :

\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}

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\frac{y - 4}{-9} = \frac{x - 1}{-3}

\frac{y - 4}{3} = \frac{x - 1}{1}

y - 4 = 3 ( x - 1 )

y = 3x - 3 + 4

\large {\boxed {y = 3x + 1} }

<h3>Learn more</h3>
  • Infinite Number of Solutions : brainly.com/question/5450548
  • System of Equations : brainly.com/question/1995493
  • System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

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