Answer :
Answer:
the two numbers are 72 and 54
Step-by-step explanation:
Let the required numbers be 4x and 3x.
According to the question, the two numbers differ by 18.
Thus, 4x – 3x = 18
⇒
x = 18
Required numbers
4x = (4 × 18) = 72
3x = (3 × 18) = 54
Therefore, the two numbers are 72 and 54
Answer:
54 and 72
OR
−54 and −72
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Step-by-step explanation:
Let the two numbers be 3x and 4x. (They are in ratio 3:4)
It is given that their difference is 18.
=> |4x − 3x| = 18
=> |1x| = 18
=> |x| = 18
=> x = ±18
Hence, x = ±18.
Now, since the numbers we assumed were 3x and 4x, put the value of x in them.
- 3x = 3(±18) = ±54
- 4x = 4(±18) = ±72
Hence, the required numbers are ±54 and ±72.
In other words, the required pairs of numbers are,
- 54 and 72
- −54 and −72
Both the numbers in each pair satisfy the given conditions. Hence, their are two answers to this question.
- 54 and 72
- −54 and −72
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