A number consists of two digits of which ten's digit exceeds the unit digits by 7.The number itself is equal to 10 times the sum of its digits.Find the number.
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Answer:
The number is 70
Step-by-step explanation:
Let the unit digit be x,
Tens digit = x+7
Then value number
= 10(x+7)+x
= 10x + 70 + x
= 11x + 70
ten times sum of digits
= 10(x+x+7)
= 10(2x+7)
= 20x + 70
according to question
= 20x+70=11x+70
= 20x - 11x = 70-70
= 9x=0
= x=0
therefore unit digit = 0
Tens digit = 0+7
Therefore, number = 70
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maulikdeadpool:
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