Find the Function

Logic Level 2
f ( x , y ) f(x,y) z z
f ( 5 , 3 ) f(5,3) 28 28
f ( 12 , 10 ) f(12,10) 222 222
f ( 9 , 1 ) f(9,1) 810 810
f ( 4 , 2 ) f(4,2) 26 26
f ( 8 , 3 ) f(8,3) 511 511
f ( 10 , 1 ) f(10,1) 911 911
f ( 7 , 3 ) f(7,3) 410 410

Based on the table able, guess the relationship between x , y , z x, y, z .

Find a value such that f ( x , y ) = 123 f(x,y) = 123 .

f ( 10 , 9 ) f(10,9) f ( 12 , 6 ) f(12,6) f ( 13 , 9 ) f(13,9) f ( 12 , 11 ) f(12,11) f ( 13 , 4 ) f(13,4)

Colin Carmody by Colin Carmody , 21, USA

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1 solution

f ( x , y ) = f(x,y) = number with the first figures(digits)being equal to x-y and \text{number with the first figures(digits)being equal to x-y and} with the last figures(digits) being equal to x + y \text{with the last figures(digits) being equal to x + y} .

In this case, f ( 12 , 11 ) = 123 , ( 1 = 12 − 11 , 23 = 12 + 11 ) f(12,11) =123, \space ( 1 = 12 - 11, \space 23 = 12 + 11)

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