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 ______
that's maths question
Answers
Step-by-step explanation:
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x=10
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 × + y .........(1)
Given,
x/y = 25
∴ x = 25y ........ (2)
from equation 1 and 2
25y = 6 × + y
⇒ 25y - y = 6 ×
⇒ 24y = 6 ×
⇒4y =
here, is a multiple of 10 and a ≠ 1 . since it is not a 1 digit number.
∴ ∈ (100,1000,10000..........)
⇒y = /4
least number belonging to is 100
∴ y = 100/4
y = 25
from, x = 6 × + y
∴ x = 625
sum of digits in x is 6+2+5 = 13
Ans = 13
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