the theory which examines consumer behavior is
Answers
Explanation:
Original Number = 41
Step-by-step explanation:
Given:
One of the two digit number is 4 times the other digit.
After interchanging digits and adding resulting number with original we get 55.
To Find:
What is the original number ?
Solution: Let the tens and ones digit of original number be x and y respectively. Therefore original number is 10x + y
One digit = 4 times of other
x = 4y........(1)
[ Now interchanging the digits of number new number formed will be ]
Reversed number = 10y + x
A/q
After interchanging digits and adding resulting number with original we get 55.
\implies{\rm }⟹ 10y + x + 10x + y = 55
\implies{\rm }⟹ 11y + 11x = 55
\implies{\rm }⟹ 11(y + x) = 55
\implies{\rm }⟹ y + x = 55/11
\implies{\rm }⟹ y + 4y = 5
\implies{\rm }⟹ 5y = 5
\implies{\rm }⟹ y = 5/5
\implies{\rm }⟹ y = 1
So the digits of number are
• Ones digit is y = 1
• Tens digit is x = 4y = 4 × 1 = 4
Hence the original number is 10x + y
= 10(4) + 1
= 41