Question

A women drop eggs, she says if eggs are divided in 2 remainder is 1, if in 3 reminder is 2 and in 4 remainder is 3. what no.of eggs she have?

Answer 1

lcm of 2,3,4= 12
no pf eggs= 12-1=11
no pf eggs= 24-1=23
no pf eggs= 36-1=35
and so on...............

Answer 2

Answer:

The women has 11 eggs.

Step-by-step explanation:

Given : A women drop eggs, she says if eggs are divided in 2 remainder is 1, if in 3 reminder is 2 and in 4 remainder is 3.

To find : What number of eggs she have?

Solution :

Let n be the total number of eggs she has.

According to question,

We must have

$n=L.C.M.(2,3,4)-H.C.F.(1,2,3)$

We know that,

L.C.M. stands for the least common multiple and H.C.F. stands for the highest common factor.

$L.C.M.(2,3,4)=4\times3=12$

$H.C.F.(1,2,3)=1$

Substitute the values,

$n=12-1$

$n=11$

Therefore, the women has 11 eggs.