6. In a two digit number. The units digit is thrice the tens digit. If 36 is added to the number, the digits interchange their place. Find the number.
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ab is the number
ab is the numberb=3a
ab is the numberb=3aab means 10a+b
ab is the numberb=3aab means 10a+b10a+b+36=10b+a (the digits interchange their places)
ab is the numberb=3aab means 10a+b10a+b+36=10b+a (the digits interchange their places)substitute 3a for b
ab is the numberb=3aab means 10a+b10a+b+36=10b+a (the digits interchange their places)substitute 3a for b10a+3a+36=10(3a)+a
ab is the numberb=3aab means 10a+b10a+b+36=10b+a (the digits interchange their places)substitute 3a for b10a+3a+36=10(3a)+a10a+3a+36=30a+a
ab is the numberb=3aab means 10a+b10a+b+36=10b+a (the digits interchange their places)substitute 3a for b10a+3a+36=10(3a)+a10a+3a+36=30a+a13a+36=31a
ab is the numberb=3aab means 10a+b10a+b+36=10b+a (the digits interchange their places)substitute 3a for b10a+3a+36=10(3a)+a10a+3a+36=30a+a13a+36=31a36=31a-13a
ab is the numberb=3aab means 10a+b10a+b+36=10b+a (the digits interchange their places)substitute 3a for b10a+3a+36=10(3a)+a10a+3a+36=30a+a13a+36=31a36=31a-13a36=18a
ab is the numberb=3aab means 10a+b10a+b+36=10b+a (the digits interchange their places)substitute 3a for b10a+3a+36=10(3a)+a10a+3a+36=30a+a13a+36=31a36=31a-13a36=18aa=36/18
ab is the numberb=3aab means 10a+b10a+b+36=10b+a (the digits interchange their places)substitute 3a for b10a+3a+36=10(3a)+a10a+3a+36=30a+a13a+36=31a36=31a-13a36=18aa=36/18a=2
ab is the numberb=3aab means 10a+b10a+b+36=10b+a (the digits interchange their places)substitute 3a for b10a+3a+36=10(3a)+a10a+3a+36=30a+a13a+36=31a36=31a-13a36=18aa=36/18a=2b=3*2=6
ab is the numberb=3aab means 10a+b10a+b+36=10b+a (the digits interchange their places)substitute 3a for b10a+3a+36=10(3a)+a10a+3a+36=30a+a13a+36=31a36=31a-13a36=18aa=36/18a=2b=3*2=6the number is 26
ab is the numberb=3aab means 10a+b10a+b+36=10b+a (the digits interchange their places)substitute 3a for b10a+3a+36=10(3a)+a10a+3a+36=30a+a13a+36=31a36=31a-13a36=18aa=36/18a=2b=3*2=6the number is 26check: 26+36=62
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