Henry Ernest Dudeney/Puzzles and Curious Problems/143 - Lilivati, A.D. 1150

Puzzles and Curious Problems by Henry Ernest Dudeney: $143$

Beautiful maiden, with beaming eyes, tell me 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 $2$?

Henry Ernest Dudeney quotes this in its entirety as an example of one of the problems in Lilavati, by Bhaskara $\text {II}$ Acharya, dating from approximately $\text {1150}$ $\text {C.E.}$

In Dudeney's words:

Here is another little morning problem from Lilivati (A.D. $1150$)...

... This, like so many of those old things, is absurdly easy when properly attacked.

It will be noted that he refers to it as Lilivati, which is most probably incorrect.

1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $143$. -- "Lilivati", A.D. $1150$
1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $215$. Lilivati, $1150$ a.d.