Question

(a) The ratio of two numbers is 2:3. If 9 is added to each number, then their
ratio becomes 11: 15. Find the second number.
(b) 37
(c)38
(d) 36
(a) 39​

Answer 1

Answer:

the second number is 36

Answer 2

Answer:

(d) 36

Step-by-step explanation:

Let 2 numbers are 2x 3x

2x+9:3x+9 = 11:15 = 11k:15k

2x+9 = 11k ----(1)

3x+9 = 15k ----(2)

(2)-(1) : x = 4k

(1) : 2(4k)+9 = 11k

        8k +9  = 11k

              3k  = 9

                k = 3 and x= 4*3 = 12

So, the second number = 3x = 36