The unit digit of a two digit number is three and 7 times the sum of its digits the number itself. Find the number.
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Step-by-step explanation:
given the two digit number a3 , where 10a + 3 = 7(a + 3), then
10a + 3 = 7a + 21
3a = 18
a = 6.
the number is 63.
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Step-by-step explanation:
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Units digit of a two digit number = 3
Let the tens digit of the number be x.
Number = 10x + 3
Sum of the digits = (x + 3)
Given that 7 times the sum of the digits is the number itself.
⇒ 7(x + 3) = (10x + 3)
⇒ 7x + 21 = 10x + 3
⇒ 10x - 7x = 21 - 3
⇒ 3x = 18
⇒ x = 6.
Therefore, the digits in the tens place is 6 and the number is 63.
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