Aptitude - Problems on Numbers - Discussion

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

So the answer is 96 only.

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.

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.

If we take 69 as answer.

Sum becomes:6+9=15.

But difference become: 6-9=-3.

But from the question, the sum should be 15 and the difference 3, not -3. On this note, I strongly believe that, the correct answer is 96, because.

Sum: 9+6=15,

And difference: 9-6=3.

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.

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.

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.

What is correct answer?