Best Answer

John is 36, Jane is 27

When he was 27, she was 18.

The algebraic solution to the equation:

Let A = John and B = Jane, and time t = A - B (difference in ages)

If t years ago, John was twice as old

A = 2 (B - t) and substitute A - B for t

A = 2B - 2A + 2B

3A = 4B

A = 4/3 B

and since A + B = 63

4/3 B + B = 63

7/3 B = 63

B = 21 and A = 28

User Avatar

Wiki User

10y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: John is twice as old as Jane was when he was as old as she is now the sum of their ages is 63 How old are John and Jane?
Write your answer...
Still have questions?
magnify glass
Continue Learning about Math & Arithmetic

Mary is n years old If John is twice as old what is his age now What was his age 4 years ago?

^^^ I have to write a Algebraic Statement

Xavier is twice as old as his sister Yolanda was when he was as old as she is now Their combined ages is 70 How old are they?

Okay, so let's make Xavier x, and Yolanda y. We know that their combined ages are 70, so: x + y = 70 Now, Xavier is twice as old as his sister Yolanda was when he was as old as she is now. To get how old Yolanda was when he was as old as she is now, we have how old she is now, minus the difference between their ages, which is y - (x - y). Xavier is twice as old as this, so: x = 2(y - (x - y)) Take out the second set of brackets: x = 2(y - x + y) which is: x = 2(2y - x) Multiply out the brackets: x = 4y - 2x Now, we know that x + y = 70 from the first equation, so: y = 70 - x replace y in the equation above (x = 4y - 2x) with 70 - x and you get: x = 4(70 - x) - 2x Multiply out the brackets again: x = 280 - 4x -2x x = 280 - 6x add 6x to both sides: 7x = 280 divide both sides by 7: x = 40 So Xavier is forty. Their combined ages are 70, so Yolanda is thirty.

Your father is 31 and you are 8 your father is now twice as old as you How old are you now?


The sum of the present ages of Vatha and Chris is 36 In 4 years time the sum of their ages will equal twice Vathas present age How old are they now?

Vatha is 22 years old. Chris is 16 years old. 36/2=18 + 4 years v = 22 v + c = 36 --> 22+ c = 36 --> c = 14

When my father was 31 i was 8. now he is twice as old as me how old am i?


Related questions

Two years ago John was three times as old as Frank Five years from now John will be twice as old as Frank What is the sum of their ages right now?


If the father's age in 3 years will be twice the son's age 4 years ago and if the sum of their ages now is 106 how old is the father now?

He is 67.

Does the name Jane come from France?

Not really. Jane in French is Jeanne; in the Middle Ages (as i Joan of Arc) the name was Jéhane, whicj developed into Joanne, Jane, Jean, Jeanette and so on. It is simply a feminine version of John/Jean/Sean/Jan/Ian. These all developed out of the Latin Johannes, which was taken over from the Greek version of the Hebrew Johanan. This was the original name of Saint John, after whom a large proportion of the world's population is now named.

Jane six years old is twice as old as her brother How old will Jane be when she is one and a half times as old as her brother?

Now: Jane is 6 and her brother is 3Later: Jane is 1.5x and her brother is xSo 1.5x - 6 = x - 3or .5x = 3and x = 6Her brother will be 6 and Jane will be 9.It's tricky!

How do you put fancy in a sentence?

"John, If you fancy Jane, just tell her!" or "I fancy a cheese sandwich right about now!"

The sum of the ages of Joe and Jim is 29 Two years from now Joe will be twice Jim's age What is Joes present age?

Joe is 20.

Now he belongs to the ages?

what does it mean? "Now belongs to the ages"

What is the past participle of the word come?

It depends on the usage, sometimes it is been and sometimes in come. Granny has been to see is twice (she is not there now visiting) Jane has come so we can start work (she is still there now)

The sum of the ages of joe and Jim is sixty seven and seven years from now joe will be twice jims age so what is joes percent age?


Bart is five times as old as his brother Bert In nine years Bart will be twice as old as Bart If x represents Bert's age what are their ages now?


Sam is twice as old as bob was when sam was 8 years younger than bob is now bob is 4 years younger than sam and the sum of their ages now is 60 how old is bob?


Abigail is now twice as old as Beth was when Abigail was as old as Beth is now When Beth is as old as Abigail is now the sum of their ages will be 63. How old are Abigail and Beth now?

Abigail will be 36 and Beth will be 27.Abigail is now 27 and Beth is 18.9 years ago, Abigail was 18 and Beth was 9 (twice her age)This is an algebra problem, and like most of them, the result turns out that the ratio of their ages is x to 0.75 x (the lower number being half of a half smaller).So for this question 7/4 x = 63 and x = 36