Q9 of 244 Page 157

The sum of two numbers is 80. The larger number exceeds four times the smaller one by 5. Find the numbers.

Let us assume the larger number be x and the smaller number be y

According to the question, we have:


x + y = 80 …(i)


x = 4y + 5


x – 4y = 5 …(ii)


Now, by subtracting (ii) form (i) we get


5y = 75



y = 15


Putting the value of y in (i), we get


x + 15 = 80


x = 80 – 15


x = 65


Hence, the two numbers be 65 and 15


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