Question

. The sum of two numbers is 48 and five times
the smaller number is equal to three times
the greater number. Find the numbers.​

Answer 1

Step-by-step explanation:

According to the question we have two equations:-

Suppose two numbers are x and y and larger number is x, then

x + y = 48 1st equation and

x = 3y

or x - 3y = 0 our 2nd equation

Now we multiply 1st equation with -1, then we get:-

-x - y = -48 by adding 2nd equation we get:-

-3y -y = -48 or -4y = -48 or y = -48/-4 = 12

So, y = 12 and x = 36 ( because x + y = 48)

So, our answer is 12 & 36

Thanks for reading the answer.

208 views · Answer requested by Senthil Kumar P



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Prakash Koshti, Electrical Engineer (2015-present)

Answered November 21, 2019

Answer is 12 & 36.

This is the method.

As given,

Suppose the numbers are, x and y.

So, x+y=48……(1)

And one number is 3 times as large as the other.

So , x=3y……….(2)

Now if put value of x from result (2) to result (1) then,

3y+y=48

So, y= 12

And So, x=3y=3(12)= 36

Answer will be 12 and 36.