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What is the Number ? (Posted on 2003-03-14) Difficulty: 1 of 5
Which is the number that, multiplied by 3, then increased by three-fourths of the product, divided by 7, diminished by one-third of the quotient, multiplied by itself, diminished by 52, the square root found, addition of 8, division by 10, gives the number 2 ?

See The Solution Submitted by Ravi Raja    
Rating: 2.6250 (8 votes)

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Solution Puzzle Solution Comment 12 of 12 |
(In reply to answer by K Sengupta)

Let the number obtained at the final operation be S(1), the number obtained at the penultimate operation be S (2) , and..., so on.


Then, by conditions  of the given problem, we must have:
S(1) =2=> S(2)/10=2=> S(2)=20
S(2)=S(3)+8=20=> S(3)= 12
S(3) =vS(4) => S(4)=12^2=144
S(4)=S(5)-52=> S(5)=144+52=196
S(5)=(S(6))^2=> S(6) = v(196)  = +/-14
S(6)=(2/3)*S(7)  => S(7) =(3/2)*(+/-14) = +/-21
S(7)= S(8)/7 => S(8)  = 7*(+/-21)  = +/-147
S(8)= (7/4)*S(9)=> S(9)= (4/7)*S(8) =(4/7)*(+/-147)= +/-84
S(9)=3*S(10)=> S(10)=S(9)/3 = (+/-84)/3 = +/-28

Consequently,  the required number is 28 or, -28.

Edited on January 1, 2022, 12:27 am
  Posted by K Sengupta on 2022-01-01 00:19:14

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