a number consists of two digit of which ten's digit exceed the unit digit by 6. the number itself is equal to 10 times the sum of its digits. find the number.
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Hi there! I happened to come across the same question so I will show you how to find the answer bellow! If this helps please vote as the brainliest and give 5 stars!
LET Y (UNITS DIGIT) PLUS 6 EQUAL THE TENS DIGIT X
Y=X-6
10(X+Y)=10X+Y REPLACE Y WITH (X-6)
10(X+X-6)=10X+(X-6)
10(2X-6)=10X+X-6
20X-60=11X-6
20X-11X=60-6
9X=54
X=54/9
X=6 WHICH IS THE TENS DIGIT
Y=6-6=0 FOR THE UNITS DIGIT'
PROOF
10(6+0)=10*6+0
60=60
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