A one variable two digit number is thrice of one number.The enterchange the number then sum of these number is sum of 88 find these number.
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Solution -
Let the digit in ones place be x
So, the digit in tens place be 3x
∴ Original no. = 10(3x) + 1(x)
= 30x + x
= 31x
∴ New no. = 10(x) + 1(3x)
= 10x + 3x
= 13x [∵By reversing the digit]
According to Question,
Original no. + New no. = 88
⇒ 31x + 13x = 88
⇒ 44x = 88
⇒ x = 88/44
⇒ x = 2
∴ Original no. = 31x = 31(2) = 62
∴ New no. = 26 [by reversing the digit]
Hence, the required number is either 62 or 26
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