Year 7 - Q7.2.10
20526
Challenge. Find all whole-number pairs \((a,b)\) for which \(\displaystyle 1\frac a6+2\frac b6=4\frac16\). Both fractional parts must be positive proper fractions, and \(a\lt b\). Explain why there are no other answers.
Hint
Separate the whole-number contribution, then find the total of the two numerators.