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`        A three digit number is equal to 17 times the sum of its digits. if 198 is added to the number,the extreme digits get interchanged. the sum of first and third digits is 1 less than middle digits. find the number`
2 years ago

Shashank Singh
57 Points
```							100x+10y+z= 17(x+y+z).........  (1)100x+10y+z+198= 100z+10y+x...........(2)from (2) we get99(z-x)= 198z-x= 2z= x+2.......... (3)nowz+x= y-1    (given)2x+3=y........  (4)putting (3) and (4) in (1) we get100x+ 10(2x+3) + x+2= 17(x+2x+3+x+2)by solving we get x=1z=1+2=3y=2+3=5so the required number is 100+50+3= 153....... [ans]
```
2 years ago
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### Course Features

• 731 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions