Seven times a two-digit number is equal to four times the number obtained by reversing the order of its digit. if clicbference between the digits is 3. then the number is nus CH blog
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Step-by-step explanation:
Let numbers be x at onces place & y at tens place so,
10y+x is the digit.
Reversed digit =10x+y
According to the question ,
∴7(10y+x)=4(10x+y)
⇒x=2y⟶(i)
Now,
Given , x−y=3
from equation (i)2y=x substitute in above equation.
2y−y=3
y=3
So ,
x=2y=2⋅3=6
∴ Required original no: is =10y+x=10⋅3+6=36.
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