The sum of the digits of a two-digit number is 17. Four times the tens digit is 12 more than thrice the ones digit. What is the original number?

Question

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Answer 1

ab is the number

a+b=17

4a=12+3b

a+b=17

a=17-b

substitute

4(17-b)=12+3b

68-4b=12+3b

68-12=4b+3b

56=7b

b=56/7

b=8

a+8=17

a=17-8

a=9

98 is the number