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.

Class 10th RS Aggarwal - Mathematics 3. Linear Equations in Two Variables

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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