Q3.x and y are 2 different digits. If the sum of the two digit numbers formed by using both the digits is a perfect square, then
value of x + y is
(a) 10
(b) 11
(c) 12
(d) 13
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(b) 11
- An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
- Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Let the number be such that the digit in its one's place is given as y and the the digit in its ten's place is given as x.
The number is given as, .
Now, reversing the digits of the number, we get that, the number becomes, .
Now, the sum of the original number and the reversed number is .
Now, in order to have the number as a perfect square, the only possible value of (x+y) can be 11.
Then, we have x + y = 11.
Hence, option b is correct.
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this is the solution as per cbse . cbse says this is the correct explanation
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