1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and h

Question

3 years ago

15

1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and h

is sister?
(a) Write an equation that represents the situation. (1 point)
(b) Solve the equation from Part (a). Show your work. (3 points)

Answer:
Part A: Write an equation.
If the present age is y, then n times the present age = ny.
If the present age is x, then age n years later/hence = x + n.
If the present age is x, then age n years ago = x – n.
The ages in a ratio a: b will be ax and bx.

Part B: Solve the equation.

John’s age =

John’s sister’s age =

Mathematics

2 answers:

Tems11 [23] · Answer 1 · 2022-06-15T13:59:03+03:00

Tems11 [23]3 years ago

8 0

Answer:

36-x=y

y*3=x

x+y=36

Step-by-step explanation:

I wasnt really sure how to write the equation the way you're supposesd to?

John is 27 and his sister is 9. 9*3=27

<em>I just used guess and check sorry</em>

iren [92.7K] · Answer 2 · 2022-06-15T12:02:41+03:00

Answer:

sister = 6 years

John=18 years

Step-by-step explanation:

A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.