Math, asked by Anonymous, 7 months ago

The sum of two digit number and number formed by interchanging its digit is 110. If 10 is subtracted from the first number, the new number 4 more than 5 times the sum of the digit in the first number the first is..........

please please please give me answer with explain

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Answers

Answered by ramesh015
8

Answer:

your answer in the attached

Attachments:
Answered by usernametaken8
0

Answer:

64

Step-by-step explanation:

Let the 2 digit number be 10x+y

Therefore,

Interchanged number = 10y+x

10x+y+10y+x = 110

=> 11(x+y) = 110

=> x+y = 10—(1)

10x+y - 10 = 5(x+y) + 4

=> 10x + y = 5x + 5y + 14

=> 5x - 4y = 14 —(2)

Multiplying (1) by 4 and adding to (2)40

4x+4y + 5x - 4y = 40 + 14

=> 9x = 54

=> x = 6

=> y = 10-x = 4

Therefore,

The number is 10x+y = 10×6+4 = 64

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