As a new year gift, three boys got a bag of chocolates. To divide the 770 chocolates in the bag, the boys worked out a formula. They would divide the chocolates in proportion to their ages. Now the boys, whose sum of ages amounted to 17½ years, carried out the following division:

1. every time Hitesh took 4 chocolates, Rajan took 3

2. every time Hitesh took 6 chocolates, Chetan took seven.

How many chocolates did each boy get, and what were their ages?

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We can see that when Hitesh takes 12 chocolates, Rajan gets 9, and Chetan gets 14. Taken together, this amounts to 35. As 770 is 35 x 22, we simply need to multiply 12, 9, 14 by 22 to discover their share:
Hitesh: 264
Rajan: 198
Chetan: 308
As the sum of their ages is 17½ years and they take chocolates in proportion to their ages, we can simply see that we need to divide 12,9, 14 to obtain their ages. Their ages are: 6, 4½, and 7 years.
Still confused how we arrived at the solution? This is question about factors. Start from the bottom, that is the ages, and work upwards to the total number of chocolates. You would see how all the numbers fit in.

Ages 7,6,4.5

Chocolates 308,264,198

perfect answer.

regards

wordpandit

name age no. of choclates

rajan 9 198

Hitesh 12 264

chetan 14 308

you got the chocolates right but the ages wrong..have a look into that

regards

wordpandit

ages are hitesh – 6 chetan – 7 rajan -4.5

chicolates hitesh – 264 chetan 308 rajan 198

perfect reply

regards,

wordpandit

ages are 6,9/2,7

chocolates are 264,198,308

perfect reply

regards

wordpandit

name no. of chocolates age(yrs)

hitesh 264 6

rajan 198 4.5

chetan 308 13

* age of chetan is 7 yrs.. mistake above

that is correct amit

Wordpandit

choclates: 198;264;308

ages:6,9/2;7

perfect reply

regards

wordpandit

Ages : H = 8, C = 5, R = 4.5

Chocolates : H=335, C=234, R=201

Explanation — Chocolate distribution ratio H:C:R = 10:7:6

check your solution onir..

you seem to have some mistake while calculation..

regards

wordpandit

7,6,4.5

308,264,198

method to solve?