Question

Find two numbers which differ by 12 and one is four times the other

Answer 1

Answer:

The required numbers are 4 and 16.

Step-by-step explanation:

Let the numbers be x and y.

According to the first condition,

x - y = 12 (Suppose x is the greater number)

or, x = 12 + y ................ (i)

According to the second condition,

x = 4y ------------------(ii)

Equating the equations (i) and (ii),

4y = 12 + y

or,4y - y = 12

or, 3y = 12

or, y = 12/3

or,y = 4

Now,

putting the value of y in equation (ii),

x = 4 x 4

   = 16

So, the required numbers are 4 and 16.