Answer :
Answer:
Let the numbers are 7x and 3x.
Their difference = 48
According to the question,
7
x
−
3
x
=
48
⇒
4
x
=
48
⇒
x
=
48
4
⇒
x
=
12
Therefore,
7
x
=
7
×
12
=
84
3
x
=
3
×
12
=
36
Therefore, the two numbers are 84 and 36.
Answer:
The statement "7:3=48" appears to represent a puzzle or riddle rather than a standard mathematical equation. To solve it, we need to identify a pattern or rule that fits this and potentially other similar statements. Let's consider a possible pattern:
One common approach in such puzzles is to manipulate the numbers in a non-standard way. Let's look at the numbers involved:
7 and 3 can be the key numbers.
The result is 48.
We might think about operations like multiplication, addition, or digit manipulation. Here’s one way to approach it:
Hypothesis: Combine Digits
Split the number 48 into two parts: 4 and 8.
Investigate if 4 and 8 can be derived from 7 and 3 through some operations.
Consider this method:
Subtract the smaller number (3) from the larger number (7):
7
−
3
=
4
7−3=4
Add the two numbers together:
7
+
3
=
10
7+3=10
Multiply the results from the two steps above:
4
×
10
=
40
4×10=40
This approach didn't yield the desired result (48), so let's try another one:
Hypothesis: Multiply and Combine
Another way to consider the operations is:
Add 7 and 3:
7
+
3
=
10
7+3=10
Multiply the two numbers:
7
×
3
=
21
7×3=21
Now let's see if combining these results in a specific way could give us 48:
Multiply the sum by 2:
10
×
2
=
20
10×2=20
Multiply the product by 2:
21
×
2
=
42
21×2=42
Sum these results:
20
+
28
=
48
20+28=48
Still, the results don't match. Let's try one more manipulation:
Hypothesis: Simple Formula
Combine digits directly:
Consider a pattern where the digits of the result might be directly derived from the two original numbers. For example:
(
+
)
×
(a+b)×a
In this case, we get:
(
7
+
3
)
×
4
=
48
(7+3)×4=48
Let’s apply this reasoning to see if it fits the given format:
First digit of the result (4) could be:
7
−
3
=
4
7−3=4
Second digit of the result (8) could be:
7
+
3
=
10
7+3=10 and considering a multiplication by
=
4
a=4, fits perfectly
Thus, the answer is in the pattern where 4 (7-3) and 8 (7+3).
Hence, the number is 4.