The smaller number is 18.
Step-by-step explanation:
Given,
Sum of two numbers = 100
The sum of 8 and the larger number is equal to 5 times the smaller number.
To find the smaller number.
Let,
Larger number is x and smaller number is y.
According to the problem,
x+y =100 ----- eq 1
8+x = 5y ------ eq 2
Now,
Putting the value x = 100 - y from eq 1 in eq 2 we get,
8+100-y = 5y
or, 6y = 108
or, y = 18
Hence,
The smaller number is 18.
