The digit at tens place is twice the digit at units place in a two digit number. number formed by interchanging the digit is 18 less than the original number. find the 2-digit number. (pls explain also:))
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1
Answer:
ANSWER
Let 10y+x be the digit number.
It is given that the ten's place is twice the digit at unit's
place.
i.e. y=2x ------(1)
Also, (10y+x)+(10x+y)=66
10y+x+10x+y=66
11y+11x=66
⇒x+y=6
⇒x+2x=6 [from (1)]
⇒3x=6
⇒x=2
Form (1), y=2(2)=4
The required number =42
Answered by
0
Step-by-step explanation:
10y+x be the digit number.
It is given that the ten's place is twice the digit at unit's
place.
i.e. y=2x ------(1)
Also, (10y+x)+(10x+y)=66
10y+x+10x+y=66
11y+11x=66
⇒x+y=6
⇒x+2x=6 [from (1)]
⇒3x=6
⇒x=2
Form (1), y=2(2)=4
The required number =10(4)+2=42
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