Luke, Ahmad and Charles collected erasers in the ratio of 7 : 6 : 10. After Charles gave ³₄ to Luke and Ahmad, Charles had 456 less erasers than Luke. The number of erasers that Ahmad had increased by 10%. How many erasers did Luke and Charles have in the end?

	Luke	Ahmad	Charles
Before	7 u	6 u	10 u
Change	+ 6.9 u	+ 0.6 u	- 7.5 u
After	13.9 u	6.6 u	2.5 u

Number of erasers that Charles gave to Luke and Ahmad
= ³₄ x 10 u
= 7.5 u

Number of erasers that Ahmad received from Charles
= ¹⁰₁₀₀ x 6 u
= 0.6 u

Number of erasers that Luke received from Charles
= 7.5 u - 0.6 u
= 6.9 u

Number of less erasers that Charles had less than Luke
= 13.9 u - 2.5 u 
= 11.4 u

11.4 u = 456

1 u = 456 ÷ 11.4 = 40

Number of erasers that Luke and Charles had
= 13.9 u + 2.5 u
= 16.4 u
= 16.4 x 40
= 656

Answer(s): 656