某人家的電話號(hào)碼是八位數(shù),將前四位數(shù)組成的數(shù)與后四位數(shù)組成的數(shù)相加得14405,將前三位數(shù)組成的數(shù)與后五位數(shù)組成的數(shù)相加得16970,求此人家的電話號(hào)碼.
設(shè)前3位數(shù)是x,第4位數(shù)是y,后4位數(shù)是z,則
| 10x+y+z=14405 | x+10000y+z=16970 |
| |
,
∴1111y-x=285,
∵100≤x≤999,0≤y≤9,1000≤z≤9999,
∴y=1,x=826,z=6144,
∴電話號(hào)碼是100000x+10000y+z=82616144.