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
Menu
doppalapudi sairam Grade: 11
        

a two digit number is 4 times to its sum of digits, when 9 is added to the number the digits will get reversed then what is that number

6 years ago

Answers : (3)

SAGAR SINGH - IIT DELHI
879 Points
										

Dear student,


Lrt the 2 digit number be 10x+y


10x+y=4x+4y


6x=3y


2x=y


Now,


10x+y+9=10y+x


9x-9y=-9


x-y=-1


On solving we get


x=1


y=2


Number is : 10x+y=12


 

































Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.


All the best.


Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.


Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..


 


Askiitians Expert


Sagar Singh


B.Tech, IIT Delhi


sagarsingh24.iitd@gmail.com
































6 years ago
Sarita Sarkar
30 Points
										

the number is 12 .


12 = 4* ( 1+2)


12 + 9 = 21, which is reverse the numberSmile

6 years ago
Sudheesh Singanamalla
114 Points
										

2 digit number is 10x+y where x is tens place and y is units place


so


according to the question


10x + y = 4 (x+y)


solving it we get


6x-3y = 0 ------------------------(i)


the second part of the question says 9 is added to the number and then number obtained is the original numbers reverse


so


10x + y + 9 = 10y + x


solving we get


9x-9y=-9


==>  x - y = -1 --------------------------(ii)


 


multiplying (i) by 1 and  (ii) by 3 and subtracting (i) from (ii) we get


-3x = -3


==> x=1 ------------- (iii)


substituting this in any of the equations (i) or (ii) we can find y


y = 2


so the original number is 10x + y = 10*1 + 2 = 12


reversed number = 21 !


 


please approve if you like the answer

6 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details