1. Amir shared 775 gifts among 4 kids. The share of the first kid, twice the share of second kid, thrice the share of third kid and four times the share of fourth kid are all equal. Find the sum of gifts received by 1st kid and 2nd kid.
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By: anil on 05 May 2019 01.13 am
Let share of each kid be $$a,b,c,d$$ respectively. Then according to ques, => $$a=2b=3c=4d=k$$ => $$a=k$$ , $$b=frac{k}{2}$$ , $$c=frac{k}{3}$$ , $$d=frac{k}{4}$$ Thus, total = $$a+b+c+d=500$$ => $$k+frac{k}{2}+frac{k}{3}+frac{k}{4}=775$$ => $$k imes(frac{12+6+4+3}{12})=775$$ => $$k=775 imesfrac{12}{25}=372$$ $$ herefore$$ Sum of gifts received by 1st kid and 2nd kid = $$a+b=k+frac{k}{2}=3frac{k}{2}$$ = $$3 imesfrac{372}{2}=558$$ => Ans - (A)
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