Question

Could someone please help me with part b) of this question? http://i.imgur.com/TF8b73F.jpg

Answer 1

2052->209->38->19

Answer 2

how about 2033 ?

Answer 3

@hartnn cool but is there an explanation because I need one for the answer

Answer 4

since we want no. after 2014, we can say first 2 digits 20 are fixed

let the no. be 20ba
so we need 20ba to be 209
(because 209 finally leads to 19)

20ba+2a = 209

now to get 9, and since we have 2a,
there are these possibilities

1+8
3+6
5+4
7+2

if we take b as 1, then a is 8/2 = 4 and we have our 2014
if we take b as 3 , then a is 6/3 = 3 and we have 2033
if we take b as 5, then a is 4/2 =2 and we have 2052 which eliasaab proposed
and we can continue...

Answer 5

9+0 is also a possibility
2090

Answer 6

Thanks very much @hartnn

Answer 7

o, you're welcome ^_^

Answer 8

This is the list for integers less than 5000. I do not know how I did not see the 2033
{2014, 2033, 2052, 2071, 2090, 2109, 2128, 2147, 2166, 2185, 2204, \
2223, 2242, 2261, 2280, 2299, 2318, 2337, 2356, 2375, 2394, 2413, \
2432, 2451, 2470, 2489, 2508, 2527, 2546, 2565, 2584, 2603, 2622, \
2641, 2660, 2679, 2698, 2717, 2736, 2755, 2774, 2793, 2812, 2831, \
2850, 2869, 2888, 2907, 2926, 2945, 2964, 2983, 3002, 3021, 3040, \
3059, 3078, 3097, 3116, 3135, 3154, 3173, 3192, 3211, 3230, 3249, \
3268, 3287, 3306, 3325, 3344, 3363, 3382, 3401, 3420, 3439, 3458, \
3477, 3496, 3515, 3534, 3553, 3572, 3591, 3610, 3629, 3648, 3667, \
3686, 3705, 3724, 3743, 3762, 3781, 3800, 3819, 3838, 3857, 3876, \
3895, 3914, 3933, 3952, 3971, 3990, 4009, 4028, 4047, 4066, 4085, \
4104, 4123, 4142, 4161, 4180, 4199, 4218, 4237, 4256, 4275, 4294, \
4313, 4332, 4351, 4370, 4389, 4408, 4427, 4446, 4465, 4484, 4503, \
4522, 4541, 4560, 4579, 4598, 4617, 4636, 4655, 4674, 4693, 4712, \
4731, 4750, 4769, 4788, 4807, 4826, 4845, 4864, 4883, 4902, 4921, \
4940, 4959, 4978, 4997}

Answer 9

This is the list from 5000 to 1000
{5016, 5035, 5054, 5073, 5092, 5111, 5130, 5149, 5168, 5187, 5206, \
5225, 5244, 5263, 5282, 5301, 5320, 5339, 5358, 5377, 5396, 5415, \
5434, 5453, 5472, 5491, 5510, 5529, 5548, 5567, 5586, 5605, 5624, \
5643, 5662, 5681, 5700, 5719, 5738, 5757, 5776, 5795, 5814, 5833, \
5852, 5871, 5890, 5909, 5928, 5947, 5966, 5985, 6004, 6023, 6042, \
6061, 6080, 6099, 6118, 6137, 6156, 6175, 6194, 6213, 6232, 6251, \
6270, 6289, 6308, 6327, 6346, 6365, 6384, 6403, 6422, 6441, 6460, \
6479, 6498, 6517, 6536, 6555, 6574, 6593, 6612, 6631, 6650, 6669, \
6688, 6707, 6726, 6745, 6764, 6783, 6802, 6821, 6840, 6859, 6878, \
6897, 6916, 6935, 6954, 6973, 6992, 7011, 7030, 7049, 7068, 7087, \
7106, 7125, 7144, 7163, 7182, 7201, 7220, 7239, 7258, 7277, 7296, \
7315, 7334, 7353, 7372, 7391, 7410, 7429, 7448, 7467, 7486, 7505, \
7524, 7543, 7562, 7581, 7600, 7619, 7638, 7657, 7676, 7695, 7714, \
7733, 7752, 7771, 7790, 7809, 7828, 7847, 7866, 7885, 7904, 7923, \
7942, 7961, 7980, 7999, 8018, 8037, 8056, 8075, 8094, 8113, 8132, \
8151, 8170, 8189, 8208, 8227, 8246, 8265, 8284, 8303, 8322, 8341, \
8360, 8379, 8398, 8417, 8436, 8455, 8474, 8493, 8512, 8531, 8550, \
8569, 8588, 8607, 8626, 8645, 8664, 8683, 8702, 8721, 8740, 8759, \
8778, 8797, 8816, 8835, 8854, 8873, 8892, 8911, 8930, 8949, 8968, \
8987, 9006, 9025, 9044, 9063, 9082, 9101, 9120, 9139, 9158, 9177, \
9196, 9215, 9234, 9253, 9272, 9291, 9310, 9329, 9348, 9367, 9386, \
9405, 9424, 9443, 9462, 9481, 9500, 9519, 9538, 9557, 9576, 9595, \
9614, 9633, 9652, 9671, 9690, 9709, 9728, 9747, 9766, 9785, 9804, \
9823, 9842, 9861, 9880, 9899, 9918, 9937, 9956, 9975, 9994}