The current age of the two brothers is ab and cd. After 11 years, their age will be pq and rs. If abcd and pqrs are whole square numbers, what is their current age?
Answers
Answer:
First brother: 20
Second brother: 25
Step-by-step explanation:
2025 --> 20 , 25
3136 --> 20+11 , 25+11
2025 = 45 x 45
3136 = 56 x 56
Hope it helps. Have a nice day!
A full list of 4 digit square numbers:
32^2 = 1024 ….. 49^2 = 2401 ….. 66^2 = 4356 ….. 83^2 = 6889
33^2 = 1089 ….. 50^2 = 2500 ….. 67^2 = 4489 ….. 84^2 = 7056
34^2 = 1156 ….. 51^2 = 2601 ….. 68^2 = 4624 ….. 85^2 = 7225
35^2 = 1225 ….. 52^2 = 2704 ….. 69^2 = 4761 ….. 86^2 = 7396
36^2 = 1296 ….. 53^2 = 2809 ….. 70^2 = 4900 ….. 87^2 = 7569
37^2 = 1369 ….. 54^2 = 2916 ….. 71^2 = 5041 ….. 88^2 = 7744
38^2 = 1444 ….. 55^2 = 3025 ….. 72^2 = 5184 ….. 89^2 = 7921
39^2 = 1521 ….. 56^2 = 3136 ….. 73^2 = 5329 ….. 90^2 = 8100
40^2 = 1600 ….. 57^2 = 3249 ….. 74^2 = 5476 ….. 91^2 = 8281
41^2 = 1681 ….. 58^2 = 3364 ….. 75^2 = 5625 ….. 92^2 = 8464
42^2 = 1764 ….. 59^2 = 3481 ….. 76^2 = 5776 ….. 93^2 = 8649
43^2 = 1849 ….. 60^2 = 3600 ….. 77^2 = 5929 ….. 94^2 = 8836
44^2 = 1936 ….. 61^2 = 3721 ….. 78^2 = 6084 ….. 95^2 = 9025
45^2 = 2025 ….. 62^2 = 3844 ….. 79^2 = 6241 ….. 96^2 = 9216
46^2 = 2116 ….. 63^2 = 3969 ….. 80^2 = 6400 ….. 97^2 = 9409
47^2 = 2209 ….. 64^2 = 4096 ….. 81^2 = 6561 ….. 98^2 = 9604
48^2 = 2304 ….. 65^2 = 4225 ….. 82^2 = 6724 ….. 99^2 = 9801