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This means that x + (x + 10) = 74.
or 2x + 10 = 74
or 2x = 74 – 10 Transposing 10 to RHS
or 2x = 64 Dividing both sides by 2
or x = 32. This is one number.
The other number is x + 10 = 32 + 10 = 42. The desired numbers are 32 and 42.
Let’s see another example
Example 2: The present age of Sahil’s mother is three times the present age of Sahil.
After 5 years their ages will add to 66 years. Find their present ages. Solution:
Solution: Let Sahil’s present age be x years, his mother’s age will be 3x years.
It is given that this sum is 66 years.
Therefore, 4x + 10 = 66
or 4x= 66-10 we transpose 10 to RHS,
or 4x = 56
or x = 56÷ 4 = 14 (solution)
Thus, Sahil’s present age is 14 years and his mother’s age is 42 years.
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