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Question

Annabel had 42 sweets more than Sherry at first. Annabel ate 1/6 of her sweets while Sherry ate 1/4 of her sweets. After that, Annabel had 45 more sweets than Sherry.How many sweets did Annabel have at first?

Answer

LCM for 4 and 6 is 12.

If Annabel had 12u sweets at first, she ate 1/6 and left with 5/6*12u = 10u sweets.

Sherry had (12u – 42) sweets, she ate 1/4 and left with 3/4*(12u – 42) = (9u – 63/2) sweets.

Given 

10u – (9u  – 63/2) = 45

u = 27/2

12u = 162

So Annabel had 162 sweets at first. 

 

 

 

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