The difference between two numbers is 11 and twice the smaller number, minus four, equals the larger number. Find the two numbers.

The larger number is 26

The smaller number is 15.

Step-by-step explanation:

Given as:

The statement is

The difference between two numbers = 11

Twice the smaller number, minus four equal larger number

Let The larger number = x

Let The smaller number = y

Now, From statements

∵ The difference between two numbers = 11

i. e larger number - smaller number = 11

Or, x - y = 11 ... A

Again

∵ Twice the smaller number, minus four equal larger number

i. e 2 * smaller number - 4 = larger number

Or, 2 * y - 4 = x

Or, 2 y - x = 4 ... B

Now, Solving equation A and B

(2 y - x) + (x - y) = 4 + 11

Or, (2 y - y) + ( - x + x) = 15

Or, y + 0 = 15

∴ y = 15

So, The smaller number = y = 15

Now, Put the value of y in eq A

∵ x - y = 11

Or, x - 15 = 11

Or, x = 11 + 15

∴ x = 26

So, The larger number = x = 26

Hence, The larger number is 26 and The smaller number is 15. Answer