The sum of two numbers is 264. One number ends with a zero. If this zero is erased, you get the second number. Find these numbers.

240; 24

Step-by-step explanation:

Given that:

Sum of two numbers = 264

One number ends with '0'

Second number = first number without '0'

Let the first number be 'a'

Since the second number is the first number with '0' erased, then,

Second number = (a : 10)

Therefore, the expression becomes:

a + a/10 = 264

Multiply the equation by 10

10a + a = 2640

11a = 2640

a = 2640/11

a = 240

Therefore;

a = 240;

a/10 = 240/10 = 24

The numbers are 240 and 24

Answer -

240; 24

Step-by-step explanation -

Given that:

Sum of two numbers = 264

One number ends with '0'

Second number = first number without '0'

Let the first number be 'a'

Since the second number is the first number with '0' erased, then,

Second number = (a : 10)

Therefore, the expression becomes:

a + a/10 = 264

Multiply the equation by 10

10a + a = 2640

11a = 2640

a = 2640/11

a = 240

Therefore -

a = 240

a/10 = 240/10 = 24

The numbers are 240 and 24