Question

if 23x3 is a multiple of 11 and x is a single digit what are possible values of x?

Answer 1

hey!! First we have to recall the divisibility rule of 11. it indicates that the sum of the alternating digits should be 0 or 11.

Now, coming to the question

2+3+ ×+3= multiple of 11

(2+×)-(3+3)=0

(2+×)-6 = 0

2+×=6

×=6-2

×=4

Thus, the value of × is 4.

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