Answer :
Answer:
Larger number is: 33
Smaller number is : 22
Step-by-step explanation:
Let the larger number be 'L'
and the smaller number be 'S'
The sum of two numbers is '55'
so, [tex]S+L=55[/tex] Equation:1
Smaller number is 11 less than the larger number,so:
[tex]S=L-11[/tex] Equation:2
Putting 'S' of Equation:2 in Equation:1
[tex]S+L=55 \\ (L-11)+L=55\\L+L-11=55\\2L=55+11\\L=66/2\\L=33[/tex]
Putting the value of 'L' in Equation:2
[tex]S=L-11\\S=33-11\\S=22[/tex]
So, the Larger number is: 33
and Smaller number is : 22
Sum of 2 numbers = 55
Since the smaller number is 11 less than the larger number ;
55 - 11 = 44 ( sum of numbers if they were the same )
44/2 = 22 ( the smaller number )
However, since the numbers are different and cannot be 22 for both of them,
22 + 11 = 33 ( bigger number )
Hence, smaller number is 22 and bigger number is 33.
Since the smaller number is 11 less than the larger number ;
55 - 11 = 44 ( sum of numbers if they were the same )
44/2 = 22 ( the smaller number )
However, since the numbers are different and cannot be 22 for both of them,
22 + 11 = 33 ( bigger number )
Hence, smaller number is 22 and bigger number is 33.