There are seven children standing in a lije not all fo whom havce the same number of cakes with them if the first child distributes his cake amoung the remaining six children such that he doubles
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Answer:
Step-by-step explanation:
Let the 7 children have a,b,c,d,e,f,g cakes respectively.
First statement: The first child distributes his cake such that he is left with 4 cakes and rest have double their initial number of cakes:
hence:
a-(b+c+d+e+f+g) = 4 --- (i)
Second statement: the 2nd boy takes 2 cakes each from every one and is still 3 short of initial value of 1st.
Hence:
b+2 cakes(6 children) = a-3
or a-b = 15 --- (ii)
substituting this value in eq - 1.
a-b -(c+d+e+f+g) = 4
We get (c+d+e+f+g) = 11.
Hope it helps you...
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