A two-digit number is 2 more than 8 times the sum of its digits. Find the number if its tens digit is 6 more than its units digit.
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3
Answer:
Step-by-step explanation:
Let the no. At units place be :- x
Let the no. At tens place be :- y
The no. Becomes :- 10y + x
According to Question,
10y + x = 2 + 8(x + y)
10y + x = 2 + 8x + 8y
2y = 2 + 7x
-7x + 2y - 2 = 0
7x - 2y + 2 = 0..........(i)
And also,
Y = x + 6.......(ii)
Put (ii) in (i)
7x - 2(x + 6) + 2 = 0
7x - 2x - 12 + 2 = 0
5x - 10 = 0
5x = 10
x = 2
Put x = 2 in (ii)
y = x + 6
y = 2 + 6
y = 8
The no. = 10y + x = 82
# Hope it helps.
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Answer:
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