Math, asked by Anonymous, 10 hours ago

Class 10th//Pair of Linear equations with 2 variables.
Help please. ​

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Answered by NotReap
3

Answer:

11 (Option B)

Step-by-step explanation:

Let the two-digit number (x & y ) be as in tens and unit digit respectively.

Then the two-digit number is gonna be 10x + y.

So in its reverse form, the number is gonna be 10y + x.

Adding them , we get the sum = S ( sum of two digits) = (10x+ y ) + (10y +x)

--->                                                  = 11x + 11y  

since 11 is common in both terms, take 11 outside the bracket  

                                                          = 11(x + y )

Therefore, to make S a square number the least value of ( x + y )  

should be 11 so that S = 11x11 i.e. it is a square number  

therefore (x + y ) = 11

which is Option B

Answered by manikasarkar0661
1

Answer:

Correct Option is b) 11

Step-by-step explanation:

Let the two digit number has X & Y respectively. Then the number is 10x+y . So, it's reverse number is 10y+x .

Adding , we get the sum = S= ( 10x+y) + (10y+x) => S = 11x+11y=11(x+y)

To make S a square number the atleast should be 11 so that S =11×11 which is a square number I.e,

(x+y)=11 .

Hence, option b is correct.

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