Question

5 friends live in the same road A, B, C, D, E. The numbers of B, C, D when multiplied together equals 8424. B is a prime number The numbers B,C, D when added equal twice E’s number, and A, C and E are even reast are odd. A’s number is half as much as E’s. The road numbers run from 12 to 222. What is the value of E?

Answer 1

Given :  The numbers of B, C, D when multiplied together equals 8424. B is a prime number

The numbers B,C, D when added equal twice E’s number, and A, C and E are even rest are odd.

A’s number is half as much as E’s.

The road numbers run from 12 to 222.

To Find : The value of E

Solution:

8424 = 2 x 2 x 2 x  3 x 3 x 3 x 3  x 13

B * C * D = 8424

Prime numbers 2 , 3 and 13

road numbers run from 12 to 222

Hence B is 13 as   B is a prime number

=> C * D = 8424/13 = 648

A, C and E are even

B & D are odd

B = odd  = 13

D  can be  3 ,  9  , 27 , 81 ,

D can  be 27 or 81    as road numbers run from 12 to 222

C * D = 648

Hence C  can be 24 or  8     so   8   not possible

Hence C  = 24  and  D  = 27

B = 13  , C = 24 , D  =27

The numbers B,C, D when added equal twice E’s number,

=> 13 + 24 + 27= 2 ( E)

=> E = 32

A is half of E = 32/2 = 16

Value of E id 32

Learn More:

What 4 digit number multiplied by 9 is itself backwards? - Brainly.in

https://brainly.in/question/11208042

- When the digits of two-digit numbersare reversed, the number ...

brainly.in/question/11905444

brainly.in/question/27036853

Answer 2

$\huge\bold\red{Hello}$

given B x C x D = 1260

also B + C + D = 2 x E,

A = E +(E/2)

we can solve this by finding the factor of 1260

again we have a condition that the numbers are between 2 to 222

now group the factors of 1260

There are 36 factors of 1260:

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18,20, 21, 28, 30, 35, 36, 42, 45, 60, 70, 84, 90,105, 126, 140, 180, 210, 252, 315, 630, 1260

as per the condition we must use only numbers between 2 & 222

therefore the count is reduced to 29 from 36

2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18,20, 21, 28, 30, 35, 36, 42, 45, 60, 70, 84, 90,105, 126, 140, 180, 210

now choose appropriate number matches for 1260 from reverse order for ease

210*6 = 210*3*2

by this 6,2,3,210,8

similarly 36,4,9,35,24 also suits

but generalized numbers will be in these multiples as follows

A will be a multiple of 6

B will be a multiple of 2

C will be a multiple of 3

D will be a multiple of 35

E will be a multiple of 8

think so i justified the answer but correct me if any