Question

Two Numbers Are In The Ratio Of 4:5. If The Sum Of These Two Numbers Is 27, Then The Larger Number Is

Answer 1

Step-by-step explanation:

Let the numbers are 4x and 5x.

so 4x+5x= 27

=> 9x = 27

=> x = 3

Hence the larger number is 5×3=15.

Answer 2

Answer:

The larger number is y = 15.

Step-by-step explanation:

Given : two numbers are in the ratio 4:5 and the sum of these two numbers is 27.

To find : the  larger number.

Solution: Let the two numbers be x and y respectively.

              Since the two numbers are in the ratio 4:5, then it can be written as x:y 4:5 ⇒ x   = 4  

                    y       5

                                         

Also since the sum of the two numbers is 27, x + y = 27-----eq.(1)

Now ,putting x = 4y , we get

                             5

4y + y = 27 ⇒ 4y + 5y = 27 × 5 = 135.

 5

        ⇒ 9y = 135  ⇒ y = 135/9 = 15.

putting y = 15 in eq.(1), we get

x + 15 = 27 ⇒ x = 27 - 15 = 12.

∴, x = 12 and y = 15.

The larger number is y = 15.

#SPJ2