Answer:
The other number is 126.
Step-by-step explanation:
Given : The GCF of 84 and another integer is 42, and their LCM is 252.
To Find : The other integer ?
Solution :
Let the other number be 'x'.
One number = 84
The GCF of numbers is 42.
The LCM of number is 252.
We know that,
[tex]\text{Product of two numbers}=GCF\times LCM[/tex]
[tex]84\times x=42\times 252[/tex]
[tex]x=\frac{42\times 252}{84}[/tex]
[tex]x=126[/tex]
Therefore, the other number is 126.
