 Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

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
one year ago Shashank Singh
57 Points
100x+10y+z= 17(x+y+z).........  (1)
100x+10y+z+198= 100z+10y+x...........(2)
from (2) we get
99(z-x)= 198
z-x= 2
z= x+2.......... (3)
now
z+x= y-1 (given)
2x+3=y........ (4)
putting (3) and (4) in (1) we get
100x+ 10(2x+3) + x+2= 17(x+2x+3+x+2)
by solving we get x=1
z=1+2=3
y=2+3=5
so the required number is 100+50+3= 153....... [ans]
one year ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Other Related Questions on IIT JEE Entrance Exam

View all Questions »  Course Features

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

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