Anna is 4 times older than Paul. After 5 years Anna is 3 times older than Paul. How old is Anna?

[eddy2017]

Hi, this type of age problems are always interesting form me. it is good exercise for the brain, let me try something here and see if it sticks.
Anna is 4 times older than Paul. After 5 years Anna is 3 times older than Paul. How old is Anna?

Data given
Anna is 4 times older than Paul
5 yrs had to go by so Anna is 3 times older than Paul
how old is Anna?
Anna=a
Paul=p
a= 4(p) Anna is four times older than Paul
after five years....
Anna is three times older than Paul

a+5 = 3*(p+5) five years would have passed for both of them, and Anna would be three times as older.
now , I have an equation where I would solve for p
a+5 = 3*(p+5)
4p +5 = 3p+15 ( because Anna=4p)
I'll subtract 3p from both sides
4p-3p+5 = 3p-3p+15
p+5 =15
I'll sub 5 from both sides
p=10
now that I have Paul's age I can find Anna's age after 5 years. the problem says she is four times older

a=4(p)
a=4(10)
a=40
Anna is 40 years.

 

[Deleted member 4993]

Anna=a
Paul=p

What is that?

It should be written as:

Anna's age NOW = a​

​

Paul's age NOW =p​

Five year's from now their respective ages would be

Anna's age five years from now = a +5​

​

Paul's age five years from now = p + 5​

Then:

Anna is 4 times older than Paul

That means:

a = 4 * p .......................................................................... (1), and​

5 yrs had to go by so Anna is 3 times older than Paul

That means:

a + 5 = 3 * (p + 5) .......................................................................... (2)​

Now solve for 'a' using (1) and (2)

After that check that value by calculating 'p' and using values of 'a' and 'p' check whether it satisfies (1) & (2)

 

[eddy2017]

 

[eddy2017]

What is that?

a=4(10)
a=40
40+5=3(10+5)
40+5=30+15
45=45

 

[Deleted member 4993]

?????