Solving Statements For A Two Digit Number


 
 
Concept Explanation
 

Solving Statements For A Two Digit Number

Solving Statements For a Two Digit Number: A two digit number consists of two digits one at unit's place and the other at ten's place. Then two express the number we will use the expanded form for conversion.

Example:  A number consists of two digit whose sum is 8. If 18 is added to the number its digits are reversed. Find the number.

Solution     Let ones digit be x.

                 Since the sum of the digits is 8. Therefore, tens digit = 8- x.

                 large therefore    Number large =10times (8-x)+x=80-10x+x=80-9x      ....(i)

Now,    Number obtained by reversing the digit

            The digit at units place will be = 8-x.

            The digit at ten's place will be = x.

large The; reversed ;Number =10times (x)+ 8-x=10x+8-x=9x+8

It is given that if 18 is added to the number its digits are reversed.

large therefore   Number + 18 =  Reversed Number

large Rightarrow ;;80-9x+18=9x+8

large Rightarrow ;;98-9x=9x+8

large Rightarrow ;;98-8=9x+9x

large Rightarrow ;;90-18x

large Rightarrow ;;frac{18x}{18}=frac{90}{18}

large Rightarrow ;;x=5

Putting the value of x in (i), we get

Number large =80-9times 5=80-45=35

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Two numbers are in the ratio 5 : 3. If they differ by 18, then. The numbers are ________________

Right Option : A
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Explanation
Question : 2

Sum of the digits of a two digit number is 9. When we interchange the digits, it is found that the resulting two digit new number is greater than the original number by 27. Then the two digit number is

Right Option : B
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Explanation
Question : 3

A two digit number such that the product of its digits is 21. When 36 is subtracted from the number the digits are interchanged. Find the digit at the tens place.

Right Option : A
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Explanation
 
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