1. In a four-digit number, the sum of the first 2 digits is equal to that of the last 2 digits. The sum of the first and last digits is equal to the third digit. Finally, the sum of the second and fourth digits is twice the sum of the other 2 digits. What is the third digit of the number?
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By: anil on 05 May 2019 02.31 am
Let the 4 digit no. be xyzw.
According to given conditions we have x+y=z+w , x+w=z,y+w=2x+2z.
With help of these quations we deduce that y=2w, z=5x.
Now the minimum value x can take is 1 so z =5 and the no. is 1854, which satisfies all the conditions.
Hence option A .
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According to given conditions we have x+y=z+w , x+w=z,y+w=2x+2z.
With help of these quations we deduce that y=2w, z=5x.
Now the minimum value x can take is 1 so z =5 and the no. is 1854, which satisfies all the conditions.
Hence option A .