(3x+y)if it is 66number then y is unit place then x is equal to. ...
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Answer:
suppose that,
The two digit number is 10x+y
Then, the unit palace is y and tens palace is x
Step-by-step explanation:
According to given question,
y=x
2
…… (1)
Then,
Again, according to given question,
10x+y+54=10y+x
⇒10x−x+y−10y+54=0
⇒9x−9y+54=0
⇒x−y+6=0......(2)
From equation (1) to,
⇒x−x
2
+6=0
⇒−x
2
+x+6=0
⇒x
2
−x−6=0
⇒x
2
−(3−2)x−6=0
⇒x
2
−3x+2x−6=0
⇒x(x−3)+2(x−3)=0
⇒(x−3)(x+2)=0
For,
x−3=0
x=3
Put in (2)
Then,
x−y+6=0
3−y+6=0
−y+9=0
y=9
Then,
The number is
10x+y
⇒10×3+9
⇒39
Hence, this is the answer.
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