The numbers a,b,c and d satisfy the equations: a+2b+3c+4d=k and 4a=3b=2c=d. What is the smallest value of k for which a,b,c and d are positive integers?

The key thing to notice here is that d must have the factors 4,3 and 2. The number 12 is the smallest to contain all those factors. We can then deduce c=6, b=4 and a=3 to get k=77.

Answered by Dean Y. Maths tutor

2547 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is Pythagoras' Theorem and how do you use it?


Increase £190 by 25%


How do I rewrite algebraic fractions as a single fraction?


How do you rearrange formula?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences