Question

The difference between two numbers is 9 and
the product of the numbers is 162. Find the
two numbers.​

Answer 1

Answer:

The numbers are: 9 and 18.

Here's one of the possible solution:

Let the first number = a

Let the second number = b

The difference between a and b = 9

The product of a and b = 162

There are 10 factors ( 5 pairs ) of 162:

1 × 162

2 × 81

3 × 54

6 × 27

9 × 18

In the about five pairs, the fifth pair 9 × 18 has a difference of 9 between the numbers.

So, 9 and 18 are the required two numbers

More:

Factor and multiple:

If a number "a" is divided by "b" , and "b" evenly divides a with no remainder, then "b" is a factor of "a" .

ex. 2 is a factor of 4

If a number "c" can be expressed as h × d, where both h and d are integers, then c is a multiple of h and d.

ex. 4 is a multiple of 2