Answer:
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
<u>Again</u>
∵ 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
