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 Post subject: IPS Maths questionPosted: Sun Sep 06, 2009 11:02 am

Joined: Sun Sep 06, 2009 10:56 am
Posts: 2
Hello, I'm new to this forum and wondered if anybody could explain how to work out the following question please:

Peter's grandma is 5 times as old as Peter was 3 years ago.
If Peter's grandma is 55, how old is Peter?

The answer in the book says Peter is 13 but I get it to be 14. What would be the best way to work it out? Thank you.

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 Post subject: Posted: Sun Sep 06, 2009 11:06 am

Joined: Mon Jun 18, 2007 2:32 pm
Posts: 6966
Location: East Kent
I would say it was 14 too

she is 55, which is 5 x 11. so 3 years ago Peter was 11, he is now 14.

depends when his birthday is maybe

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 Post subject: Posted: Sun Sep 06, 2009 11:10 am

Joined: Sun Sep 06, 2009 10:56 am
Posts: 2
That's what I thought - thank you for replying so quickly!

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 Post subject: Re: IPS Maths questionPosted: Sun Sep 06, 2009 11:24 am

Joined: Fri Mar 20, 2009 7:34 pm
Posts: 37
kandc wrote:
Hello, I'm new to this forum and wondered if anybody could explain how to work out the following question please:

Peter's grandma is 5 times as old as Peter was 3 years ago.
If Peter's grandma is 55, how old is Peter?

The answer in the book says Peter is 13 but I get it to be 14. What would be the best way to work it out? Thank you.

Let Peter be p years.

3 years ago Peter was p - 3 years.

Peter's grandma is 5 times as old as this, which is 5(p-3) = 5p - 15

But we also know that grannie is 55, so:

5p - 15 = 55 so
5p = 55 + 15 = 70 so
p = 70/5 = 14

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