Example Find two numbers whose sum is 24 and whose difference is 4
Solution :
You are looking for two numbers of which assume the smaller one to be 'x'
As the difference is 4
The greater number is x + 4
Setting up the equation as
x + (x + 4) = 24
2 x + 4 = 24
2 x = 20
x = 10
Therefore, the two numbers are 10 and 14.
Check:
Sum = 10 + 14
= 24 and
difference = 14  10
= 4
B) Age problems :
If we assume the age of Tom to be x years, then his age a few years before, his age after a few years, the ages of his brothers and sisters relative to him etc. can be seen in the information given below :
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