Question

Two no.s are in the ratio 4:5. If their sum is 135, find the no.s

Answer 1

Step-by-step explanation:

Let the two numbers be x and y.

As per statement the sum of two numbers is 135. As such

x + y = 135 ..Eq.1

they are in the ratio 4 : 5

x/y = 4/5

Cross multiplication

4y = 5x

y = 5x/4..Eq.2

Substituting the value of y in Eq.1

x + y = 135

x + 5x / 4 =135

(4x + 5x) / 4=135

9x / 4 = 135

9x= 135 × 4

x= (135 × 4)/9

x = 15 × 4

x = 60

One number is 60

Substituting the value of x in Eq..1 to derive the value of y

x + y = 135

60 + y = 135

y = 135 - 60

y= 75

Answer 2

Answer:

60 and75

Step-by-step explanation:

Let the no.be 4x and 5x

4x+5x= 135

9x=135

x=135/9

x=15

4x=4×5

=60

5x=5×15

=70