Q. 94.4( 7 Votes )

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

Answer :

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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