The larger of two numbers is 5 less than four times the smaller number. The sum of the two numbers is 50. What are the two numbers

Answer 1

The larger of two numbers is 5 less than four times the smaller number. The sum of the two numbers is 50. What are the two numbers.

Let A=the larger number and B=the smaller number.

Then A>B

A=4B-5 [1]

A+B=50 [2]

Substitute [1] into [2]:

(4B-5)+B=50

5B=55

B=11

A=4(11)-5=44-5=39.

The larger number is 39.

The smaller number is 11.

Answer 2

Suppose x and y are the two numbers. And y is the larger no.

so the equation will be y= 4x - 5. Other equation will be x + y =50

y= 4 x - 5

x + y =50

y = 50 - x

Now , putting the value of y in the equation y= 4 x - 5

we get, 50 - x = 4 x -5

-x -4 x= -5 - 50

-5x= -55

negative signs get cancelled and we get x= 11

Therefore, the smaller no. x =11 and the larger one is 50-11=39.

The two numbers are 11 and 39.