Learn to Create a Robotic Device Using Arduino in the Free Webinar. Register Now
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Free webinar on Robotics (Block Chain) Learn to create a Robotic Device Using Arduino
30th Jan @ 5:00PM for Grade 1 to 10
Given a three digit number whose digit are the three successive terms of a G.P. If we subtract 792 from it,we get a number written by the same digit in reverse order.Now if we subtract four from the hundred's digit of the initial number and leave the other digit unchanged,we get a number whose digit are successive terms of an A.P. Find the number. Given a three digit number whose digit are the three successive terms of a G.P. If we subtract 792 from it,we get a number written by the same digit in reverse order.Now if we subtract four from the hundred's digit of the initial number and leave the other digit unchanged,we get a number whose digit are successive terms of an A.P. Find the number.
Let our number's digits be ar² ar aSo, we have our number asar²(100) + ar(10) + aNow, if we subtract 792 from this, we get our digits reversed, soar²(100) + ar(10) + a - 792 = a(100) + ar(10) + ar²100ar² + 10ar + a - 792 = 100a + 10ar + ar²99ar² - 792 = 99aar² - 8 = aa(r² - 1) = 8....(1) now if we subtract 4 frm the hundred digit ar² , ar – 4, a are in A.P. 2ar – 8 = a(1+r²) use this and the earier equation to find a and r.
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -