Question

6. The sum of two numbers is 160. If the ratio of the numbers is 5:11, the numbers are

(a) 40, 120


(b) 50, 110
(d) 80, 80
(c) 100, 60​

Answer 1

Answer :

[ Option b. 50, 110 ] is the correct option

Step-by-step explanation :

To Find,

• The numbers

Solution,

Given that,

• The sum of two numbers is 160
• The ratio of the numbers is 5 : 11

Let us assume the numbers as 5x and 11x

Therefore, 5x + 11x = 160

➮ 5x + 11x = 160

➮ 16x = 160

➮ x = 160 / 16

➮ x = 10

The value of x is 10.

The numbers are,

The number which we assumed as 5x

➮ 5x

➮ 5 × 10

➮ 50

The number which we assumed as 11x

➮ 11x

➮ 11 × 10

➮ 110

Hence, the numbers are 50 and 110.