Question

Example 5:
If a : 3.: 15 = 5: b.: 5: Find the values of a and b
Solution:
2​

Answer 1

Answer:

a = 15 and b = 1

Step-by-step explanation:

a : 3 : 15 ------------ [ 1 ]

5 : b :  5 ------------ [ 2 ]

a : 3 : 15 = 5 : b : 5

⇒ both ratios are equal

Multiply [2] by a factor of 3, we get:

15 : 3b : 15

Since both ratio have the last part = 15, we can compare them:

a : 3 : 15 ------------ [ 1 ]

15 : 3b :  15 ------------ [ 2 ]

By comparing we can conclude that:

a = 15

3b = 3

b = 1

Answer: a = 15 and b = 1