I am a five digit number. My ones digits is 3 . My hundreds digit is 2 times my ones digit. My tens digit is the sum of ones digit and hundreds digit. My thousands and ten thousands digit is one less than hundreds digit.
(a) What number am I?
(b) Write my successor.
(c) Am I greater than or less than the number, fifty five thousand nine hundred thirty $ \operatorname{six} " ? $"

Academic Mathematics NCERT Class 6

Given: A five digit number. One's digits is 3 . Hundred's digit is 2 times its ones digit. Ten's digit is the sum of one's digit and hundred's digit. Thousands and ten thousand's digit is one less than hundred's digit.

To do:

$( a)$. To find what the number is?

$( b)$. To write its successor.

$( c)$. To find whether the number is greater than or less than the number, "fifty five thousand nine hundred thirty"

Solution:

$( a)$. The five digit number can be written a: $10000a+1000b+100c+10d+e$

ones digit is $3$,

$\Rightarrow e=3$

Hundred digit is $2$ times of once digit

$\Rightarrow c=2( 3)=6$

Ten digit is the sum of one digit and hundredth digit

$\Rightarrow d=3+6=9$

Thousand and ten thousand digit is one less than hundredth digit,

$\Rightarrow b=6-1=5$ and $\Rightarrow a=6-1=5$

Thus the number:$10000a+1000b+100c+10d+e$

$=10000\times5+1000\times5$+100\times6+10\times9+\times3$

$=50000+5000+600+90+3$

$=55693$

Thus, the number is $55693$

$( b)$.

The number is $55693$

Its successor$=55693+1=55694$ [ $\because$ Successor of $x$ is $x+1$]

$( c)$. Fifty five thousand nine hundred thirty$=55930$

On comparing with $55693$:

$55693<55930$.

Thus, the number is less than the number, "fifty five thousand nine hundred thirty".

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Updated on: 10-Oct-2022

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