the sum of the digit of a two digit number is 7 if the digits are reserved the new number increased by 3 equals 4 times original number find the original number
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Let, the digits are x and y.
So the number is (10x+y).
When the digits are reversed, the number is (10y+x).
Given that,
x+y=7
》6x + 6y = 42 .....(i)
and
(10y+x) + 3 = 4(10x+y)
》39x - 6y = 3 .....(ii)
(i) + (ii) 》》
45x = 45.
i.e., x = 1
So, y = 6.
Hence the original number is 16.
⏏HOPE THIS ⬆ HELPS YOU⏏
Let, the digits are x and y.
So the number is (10x+y).
When the digits are reversed, the number is (10y+x).
Given that,
x+y=7
》6x + 6y = 42 .....(i)
and
(10y+x) + 3 = 4(10x+y)
》39x - 6y = 3 .....(ii)
(i) + (ii) 》》
45x = 45.
i.e., x = 1
So, y = 6.
Hence the original number is 16.
⏏HOPE THIS ⬆ HELPS YOU⏏
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