5. A number consists of two digit of which ten's
digit exceeds the units digit by 6. The number
itself is equal to ten times the sum of its digits.
Find the number.
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Answer:
Step-by-step explanation
Let the number is 10y+x where x is the unit digit and y is the ten's digit. Then by the given question,
y=x+6 -------------(1) and
10y+x=10(x+y)
or, 10y+x=10x+10y
or, x-10x=0
or, x=0
∴, y=0+6
or, y=6
∴, the given number is
10×6+0=60
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