The sum of digits of a two digit number is 7. If the digits are interchanged, the new number is 25 less than thrice the original number. (chalenge) medium
Answers
Answered by
2
Answer:
Original number=
Ones digit = x
tens digit = 7-x
Original number = 10(7-x) + x
. = 70-10x +x
. = 70-9x
Interchanged number =
ones digit = 7-x
tens dight = x
Interchange number = 10x + 7-x
= 9x + 7
A. T. Q
3 * (70-9x) -25 = 9x+7
210-27x -25 = 9x+7
185-27x =9x+7
-27x - 9x = -185 +7
-36x= -178
x= -178/-36
x = 4.9
Original number =
Tens digit= 7-x = 7-4.9 = 2.1
Ones digit= x = 4.9
Original number = 70- 9x
= 70- 9*4.9
= 70-44.1
= 25.9
Similar questions