Aptitude - Problems on Numbers - Discussion

It should be 96 as 9 + 6 = 15 and 9 - 6 = 3. It satisfies the given condition.

Correct me, if I am wrong.

Let the two-digit number be( 10x + y ), where ( x ) is the tens digit and ( y) is the unit digit.

We are given two conditions:
1. The sum of the digits is 15: [ x + y = 15 ]
2. The difference between the digits is 3: [ x - y = 3]

Now, we can solve these two equations simultaneously:

From the second equation,
x = y + 3

Substitute this value of ( x ) into the first equation:
(y + 3) + y = 15.
2y + 3 = 15.
2y = 12.
Then, y = 6.

Now substitute y = 6 into ( x = y + 3 ):
x = 6 + 3 = 9

Thus, the two-digit number is ( 10x + y = 10(9) + 6 = 96).

The two-digit number is 96.

x+y=15,
x-y=3.

Adding both the equation.so,
2x = 18,
x = 9.

Put x=9 in any equation,
9-y=3,
-y=-5,
Y=5.


The answer is;
X = 9.
Y = 5.

I don't understand where they got that x=6 and y=9. Please anyone explain me.

Two digit no are 10x+y.
Let assume x > y.
x + y = 15.
x - y = 3,
x = 9 & y=6.

Number- 10*x+y= 10*9+6 = 96.
if y>x.
10*6 + 9 = 69 .
So, the answer cannot be determined.

Good morning friends.

Let the numbers X and Y
(1).X+Y = 15.
(2).X-Y = 3.

From equation (1)
X+Y = 15
Y = 15 -X .

Adding equation (1)and (2)
We get --- X - ( 15 - x) = 3.
When we solve this we get X = 9 and Y = 6.

BUT
When we solve another method.
Let the numbers X and Y.
(1).X+Y = 15.
(2).X-Y = 3.

From equation (1).
X + Y = 15.
X = 15 - Y.

Adding equation (1)and (2).
We get --- (15 - Y) - Y = 3.
When we solve this we get X = 6 and Y = 9.
So, the answer is either 96 or 69.

So, here the answer is cannot be determined.
Thanks.

The answer will be 96 only as question specify that x-y as 3 not -3.

So the answer is 96 only.

If he specified the difference between the first digit and the second digit is 3., then we can determine the answer, which is 96. Since he did not mention anything we can't determine the number.

What is correct answer?

Let tens digit is = x.
And unit digit is = y.

Here x+y=15 ------> 1
x-y = 3 ------> 2

From two:

x=3+y put it in 1 we will get y = 6.
Now put y in equation 1 we get x = 9.
As x is ten digit and y is unit so, 10 * x +y = 10 * 9 + 6 = 96.

So 96 is the correct answer.