THERE WERE TWO FRIENDS,A PHILOSOPHER AND A MATHEMATICIAN. MATHEMATICIAN ASKED PHILOSOPHER HOW MANY CHILDREN HE HAS. THE PHILOSOPHER REPLIED HE HAS 3 DAUGHTERS AND THEN ASKED HIS FRIEND MATHEMATICIAN TO GUESS THE AGE OF HIS 3 DAUGHTERS. PHILOSOPHER GAVE HIS FRIEND 3 CLUES TO GUESS THE AGES ;
 
  1. THE PRODUCT OF 3 AGES DAUGHTERS  IS 36.
  2. THE SUM OF THE AGES OF THE DAUGHTERS IS EQUAL TO THE NEIGHBOUR'S HOUSE .
  3. THE ELDER DAUGHTER IS OUT OF THE TOWN.

Asked by sommya naberia | 6th Jul, 2014, 04:24: PM

Expert Answer:

L e t space x comma y space a n d space z space b e space t h e space a g e s space o f space t h e space g i r l s. F r o m space t h e space g i v e n space d a t a comma space w e space h a v e comma space x cross times y cross times z equals 36 W e space c a n space c o n s i d e r space t h e space f o l l o w i n g space p o s s i b i l i t i e s : 1 cross times 2 cross times 18 equals 36 9 cross times 2 cross times 2 equals 36 6 cross times 6 cross times 1 equals 36 4 cross times 9 cross times 1 equals 36 1 cross times 3 cross times 12 equals 36 T h e r e space i s space n o space c l u e space t h a t space t h e r e space a r e space t w i n s space i n space h i s space f a m i l y. T h u s comma space w e space c a n space d i s c a r d space t h e space p o s s i b i l i t i e s comma space 9 comma 2 comma 2 space a n d space 6 comma 6 comma 1 G i v e n space t h a t space t h e space e l d e r space d a u g h t e r space i s space o u t space o f space t h e space t o w n. S o space t h e space e l d e r space d a u g h t e r space c a n space s t a y space a l o n e space a n d space h e n c e space s h o u l d space b e space a space m a j o r. T h u s comma space h e r space a g e space m u s t space b e space 18. A n d space h e n c e space t h e space a g e s space o f space o t h e r space t w o space g i r l s space a r e space 2 space a n d space 1.

Answered by Vimala Ramamurthy | 7th Jul, 2014, 10:16: AM