One of the two digits of a two digit number is three times the other digit . If you interchange the digits of this two - digit number and add the resulting number to the original number , you get 88. What is the original number ?
Answers
Answer:
Original number is 62
Explanation:
units place digit = x
tens place digit = 3x
Find original number -
x(1) + 3x (10) [we are multiplying x by 1 as it is units place, and we are multiplying 3x by 10 as it is the tens place]
original number = x + 30x
=31x
Find reversed number -
x(10) + 3x(1) [ we are multiplying x by 10 and 3x by 1 as we have to reverse the digits]
reversed number = 10x + 3x
=13x
Given - original number + reversed number = 88
31x + 13x = 88
44x = 88
x = 88/44
x = 2
original number = 31x
= 31(2)
original number =62
reversed number =26
FOR VERIFICATION -
original number + reversed number = 88
62+26= 88
Hence, Original number is 62
HOPE EXPLANATION IS CLEAR