Question

There are four prime numbers written in ascending order of magnitude. The product of first three is 385 and that of last three is 1001. Find the first number

Answer 1

Q:

There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number ?

Answer: 13 

Read Description:

=>(385/1001) = 5/13

First Number is 5

Hence, The Fourth number is 13 .

Answer 2

Given,

Four prime numbers in ascending order.

The product of the first three numbers  = 385

The product of the last three numbers = 1001

To Find,

The first number.

Solution,

Let the four numbers in ascending order be a, b, c, and d.

Now,

It is given that

a*b*c = 385------(i)

b*c*d = 1001-----(ii)

Dividing first with second

abc/bcd = 385/1001 = 5/13

a/d = 5/13

So,

a = 5 and b = 13

Hence, the first number is 5.