Answer:
smaller number is 7
larger number is 35
Step-by-step explanation:
Let the smaller number be x
Given that greater number is 6 more than 4 times the smaller number.
If x is value of smaller number then 4 times the smaller number is 4*x= 4x
six more than 4 times the smaller number will be 6+4x.
Thus larger number is 6+4x
Sum of smaller and larger no is 41.
Substituting the value of smaller and larger number in sum we have
x+6+4x = 41
=> 5x+6 = 41
=> 5x = 41-6
=> 5x= 35
=>x = 35/5 = 7
Thus smaller number is x = 7
larger number = 4x+6 = 4*7+6 = 35