Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
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

find the smallest number which when divided by 9,11,13 leaves the remainder 1,2,3 respestively

find the smallest number which when divided by 9,11,13 leaves the remainder 1,2,3 respestively

Grade:10

1 Answers

Yash SIngh
34 Points
4 years ago
let the no be x;
x=9a+1;
x=11b+2; 
x=13c+3;
multiply all equations by 2:
2x=9d+2;
2x=11e+4;
2x=13f+6;
now add 7 to all;
2x+7=9d+9;     divisible by 9
2x+7=11e+11;    divisible by 11
2x+7=13f+13;    divisible by 13
therefore LCM(9,11,13)=2x+7
(9*11*13-7)/2=x
=>x=640, if not 640 then keep multiplying by 2,3,4,5,6,etc
we take LCM because it is the smallest no which has 9,11,13 as factor
 

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free