Another rapidly answered question again this week. Maybe it was a little too easy? ;) This week’s benefactor is Sarah, my mother, who correctly showed her workings and everything. ;)
Below is the answer that I was working from and would have accepted variations of (and, well, any answer that made sense and showed workings…):
The shape of the area used for growing lettuces has remained a square in both the years.
Let the side of the square area used for growing lettuces this year be X ft.
Therefore, the area of the ground this year = X2 sq.ft.And let the side of the square area used for growing lettuces last year be Y ft.
Therefore, the area of the ground used last year = Y2 sq.ft.As the number of lettuces grown has increased by 211, the area would have increased by 211 sq ft as each lettuce takes 1 sq ft space.
Hence X2 – Y2 = 211 => (X + Y)(X – Y) = 211.
211 is a prime number and hence it will have only two factors. i.e., 211 = 211*1.
This can be represented as (106 + 105)*(106-105).(X + Y)(X – Y) = (106 + 105)(106 – 105).
From this we can deduce that X = 106 and Y = 105.Therefore, number of lettuces produced this year = X2 = 1062 = 11236.
All credit for the question goes to 4gmat.com because I was too lazy to think up my own question this time.
This week’s donation goes to Naomi House:
Naomi House children’s hospice is a charity that provides support to children and young people with conditions that mean they are unlikely to live to become adults.
The charity provides care to families living in communities across the seven counties of Berkshire, Dorset, Hampshire, Isle of Wight, Surrey, West Sussex and Wiltshire.
So that concludes another week. I wonder what I should do for next week… Look out for it, whatever it is. ;)












