Q. 73.6( 9 Votes )
A 3-digit number 4A3 is added to another 3-digit number 984 to give four digit number 13B7, which is divisible by 11. Find (A + B).
Answer :
Given, a 3-digit number 4A3
And a 3-digit number 984
Both the numbers are added to get a four-digit number 13B7
And 13B7 is divisible by 11.
By observation we get A + 8 = B
⇒ B-A = 8
Since, 13B7 is divisible by 11 to know its divisibility we have to subtract sum of odd placed numbers and sum of even placed numbers
We get,
(7 + 3)-(B + 1) = 9-B = 0
⇒B = 9
Solving, B in B-A = 8 we get
⇒ 9-A = 8
⇒ A = 9-8
⇒ A = 1
Hence, A = 1, B = 9 and (A + B) = 10
Rate this question :
Quiz | Who will Win the Game?41 mins
Quiz on Divisibility Test32 mins
Divisible or not41 mins
Mastering Divisibility Test42 mins
NCERT | Divisibility Test43 mins
Quiz | Imp. Qs. on Playing With Numbers45 mins
Properties of Rational Numbers29 mins
On the Number line44 mins
Essentials of Rational Numbers45 mins
Missing Numbers55 mins
27Q leaves remainder 3 when divided by 5 and leaves remainder 1 when divided by 2, what is the remainder when it is divided by 3 ?
AP - Mathematics54Z leaves remainder 2 when divided by 5, and leaves remainder 1 when divided by 3, what is the value of Z?
AP - MathematicsIf A679B is a 5-dit number is divisible by 72 find ‘A’ and ‘B’?
AP - MathematicsA 3-digit number 4A3 is added to another 3-digit number 984 to give four digit number 13B7, which is divisible by 11. Find (A + B).
AP - MathematicsFind the numerical value of the letters given below-
(a) 
(b)
