The sum of the present ages of mark and his mother is 60 years. in 6 years she will be twice as old as he will be. find their present ages.

This question can be solved using 2 variables x and y.

Putting the variables in the equation according to the conditions given would give the value of the variable.

In 6 years time the age of Mark will be 18+6=24 years and his mother will be 42+6=48 years which will be twice of 24.

Let the present age of Mark be x and his mother be y.

Then according to the given conditions.

x+y= 60 equation 1

y+6= 2(x+6)

y+6= 2x+12

y-6= 2xequation2

From equation 1 the value of y is found to be

y= 60-x equation3

Putting this value of y from equation 3 in equation 2

y-6-2x

60-x -6 = 2x

54= 2x+x

54=3x

x= 54/3= 18

The present age of Mark is 18 years.

Putting x= 18 in equation 1

18+y=60

y= 60-18= 42

His mother is 42 years old.

In 6 years time the age of Mark will be 18+6=24 years and his mother will be 42+6=48 years which will be twice of 24.

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  Mark is 18; his mother is 42.

Step-by-step explanation:

In 6 years, 12 years will be added to the total of their ages, so it will be 72. Since this is the total of Mark's age and twice Mark's age, his age at that time will be 72/3 = 24. His mother will be 48 at that time.

Now, they are 6 years younger than that, so they are 18 and 42.

t hope this

:

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9