Math, asked by yuvi004, 5 hours ago

There is a positive integer'X'which has digit at highest place as 6.If digit at highest place (which is 6) is dropped we get another positive integer'y'such that (x)/(y)=25 then sum of digits of least value of x is equal to ______


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Answers

Answered by dk3559216
0

Step-by-step explanation:

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x=10

Answered by rishkrith123
0

Answer: 13

Step-by-step explanation:

let us assume integer y has 'a' digits in it.

y = _ _ _ _ _ .......  (a no. of digits) a ∈ (2,3,4,5.........∞)

therefore,  

x = 6 × 10^{a} + y .........(1)

Given,

x/y = 25

x = 25y  ........ (2)

from equation 1 and 2

25y = 6 × 10^{a} + y

⇒ 25y - y =  6 × 10^{a}

⇒ 24y =  6 × 10^{a}

⇒4y =   10^{a}

here,   10^{a}  is a multiple of 10 and a ≠ 1 . since it is not a 1 digit number.

∴   10^{a} ∈ (100,1000,10000..........)

⇒y =   10^{a} /4

least number belonging to   10^{a} is 100

∴ y = 100/4

y = 25

from, x = 6 × 10^{a} + y

x = 625

sum of digits in x is 6+2+5 = 13

Ans = 13

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