Question

In the number 6*54*3, the same digit occurs in the place of *(asterisks).If the difference between their place values is 39,960, which digit should replace* ? 1)6 2)3 3)5 5)4

Those who know the answer please tell by explanation

please give the answer fast
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Answer 1

Answer:-

Option (5) 4

$\rule{100}2$

Let the -

• number be 6xx54x3

So, x = *

Give number is 6*54*3.

In the above number, the first * is before ten thousand of digits. (As, 54*3 here * is also a digit)

So, the digit which is in ten thousand place will be represented as x × 10000

Similarly, the digit in the ten's place will be represented as x × 10

Also, the difference between their (in the thousands place and ten's place digit) place values is 39960.

According to question,

=> $\sf{x\:\times\:10000\:-\:x\:\times\:10\:=\:39960}$

=> $\sf{10000x\:-\:10x\:=\:39960}$

=> $\sf{x(10000\:-\:10)\:=\:39960}$

=> $\sf{9990x\:=\:39960}$

=> $\sf{x\:=\:\frac{39960}{9990}}$

=> $\sf{\bold{x\:=\:4}}$

Also,

Number = 645443

•°• 4th digit should replace *

Answer 2

AnswEr :

⋆ Given Number : 6*54*3

Let's Assume that *(Asterisks) as n and it is given that it is same Digit.

• According to the Question Now :

⇒ Diff. Btwnⁿ Place Values = 39960

⇒ (10000 × n) - (10 × n) = 39960

⇒ 10000n - 10n = 39960

⇒ 9990n = 39960

⇒ n = 39960 / 9990

⇒ n = 4

Let's Replace Asterisks with 4, So the Correct Number will be 64,5443.

∴ Hence, 4 will Replace the Asterisks.

_________________________________

• Verification :

⇝ Diff. Btwnⁿ Place Values = 39960

⇝ (10000 × n) - (10 × n) = 39960

• Plugging the Value of n as 4

⇝ (10000 × 4) - (10 × 4) = 39960

⇝ 40000 - 40 = 39960

⇝ 39960 = 39960 Hence, Verified