find the two digit number from me the digit at the tens place is 5 less than twice the digit at units ,the sum of original number and number obtained by interchanging the digit is 176
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Step-by-step explanation:
Let the number be 10x + y
Given: digit at the tens place is 5 less than twice the digit at units
=> y=2x-5 ---------------------1
Given: the sum of original number and number obtained by interchanging the digit is 176
=>10x+y +10y+x=176
=>10x + 2x-5 +10(2x-5) +x =176 (Applying 1)
=>12x+20x-5-50 = 176
=>32x-55=176
=>32x= 231
=>x=7.
y=2x-5
=14-5 = 9.
Therefore, number=79
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