How old am I?

My parents told us that the product of my age and my twin little brothers was 171 a year ago. Can you help me how old I am now?


The answer is 20.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

4 solutions

Pankaj Singh
Jun 6, 2014

171 could be written as 9*19 , that is 19 (can't be further factories) is age 1 year ago so the answer is 20

But how can twins have different ages????

Log in to reply

They are both 3.

Astro Enthusiast - 6 years, 11 months ago
Tom Engelsman
Mar 6, 2021

A year ago, the required age product is just ( x 1 ) ( y 1 ) 2 = 171 x = 1 + 171 ( y 1 ) 2 = 1 + 3 2 1 9 1 ( y 1 ) 2 (x-1)(y-1)^2 = 171 \Rightarrow x = 1 + \frac{171}{(y-1)^2} = 1+ \frac{3^2 19^1}{(y-1)^2} . We obtain an integer when y = 4 x = 1 + 3 2 1 9 1 3 2 = 1 + 19 = 20 . y=4 \Rightarrow x = 1 + \frac{3^2 19^1}{3^2} = 1 + 19 = \boxed{20}.

Siva Prasad
Jul 30, 2014

its so easy ya...!

171=19x9 The ages are 19,3 and 3.So the age right now= 123 \boxed{123}

Astro Enthusiast
Jun 26, 2014

I just looked for the prime factors of 171, and I found (3^2)(19). :D

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...