Motoring1 min ago
Number
5 Answers
Find a number
Whos half, exceeds its third, by the sum of two digits
Whos half, exceeds its third, by the sum of two digits
Answers
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If the digits are x and y, then the number is 10x + y. The difference between one half and one third is one sixth.
Hence (10x + y)/6 = x + y (the sum of the digits)
Multiply through by 6 to get 10x + y = 6x + 6y
That is 4x = 5y.
This means that x = 5 and y = 4; and the number is 54.
If the digits are x and y, then the number is 10x + y. The difference between one half and one third is one sixth.
Hence (10x + y)/6 = x + y (the sum of the digits)
Multiply through by 6 to get 10x + y = 6x + 6y
That is 4x = 5y.
This means that x = 5 and y = 4; and the number is 54.