5 years ago, the mother's age was 3 times of her son's age. 5 years hence, the ratio between the ages of mother and the son becomes 11:5. Find the mother's present age?

50 years

Step-by-step explanation:

Let 5 years ago the age of son be x years

Given that

mother's age was 3 times of her son's age

5 years ago the age of mother was  3x years

Then present age of son will be 5 years more than age he had 5 years ago

present age of son = (x+5) years

similarly present age of mother = 3x+5 years

Let calculate age 5 year hence

5 year hence age of son = present age of son + 5 years

5 year hence age of son = (x+5) years + 5 years = x + 10 years

5 year hence age of mother = present age of mother + 5 years

5 year hence age of mother = (3x+5) years + 5 years = 3x + 10 years

Given that

ratio between the ages of mother and the son becomes 11:5

thus,

3x+10/x+10 = 11/5

=> 5(3x+10) = 11(x+10)

=> 15x+50 = 11x+110

=> 15x-11x = 110-50

=> 4x= 60

=> x = 60/4 = 15

Thus, value of x is 15 years

We have present age of mother as 3x+5, substituting valye of x as 15

3x+5 = 3*15+5 = 45+5 = 50

Mother's present age is 50 years.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )