The sum of two numbers is 55. four times the smaller is 5 less than the larger.find the numbers?

Question

The sum of two numbers is 55. four times the smaller is 5 less than the larger.find the numbers?

Answer 1

x + y = 55

4x = y - 5 ==> y = 4x + 5

x + (4x + 5) = 55

5x = 50

x = 10

y = 4x + 5 = 45

Answer 2

x + y = 55

4x = y - 5

5x = 50

x = 10

y = 45

Answer 3

Let the smaller be x, then the larger is 55-x.

4x = (55-x) - 5 = 50-x

5x=50

x=10

55-x=45

Answer 4

let the smaller no. be x, and the larger no. be y

x + y = 55 --- (1)

4x = y-5 --- (2)

(2)/4: x = (y-5)/4 --- (3)

sub (3)into (1):(y-5)/4 +y = 55

(y-5+4y)/4 = 55

(5y-5)= 55 * 4

        = 220

5y = 225

~ y = 45

~ x = 55 - 45

   =10

Answer 5

45 and 10