Question

Given x : y: z = 5:1:3 and z - y = 28. find the value of x + y​

Answer 1

x + y = 84

Explanation:

Given

x : y : z = 5 : 1 : 3, then

`(x)/(y)` = 5 ( multiply both sides by y )

x = 5y ←

and
`(y)/(z)` =
`(1)/(3)` ( cross- multiply )

3y = z

Substitute z = 3y into z - y = 28

3y - y = 28

2y = 28 ( divide both sides by 2 )

y = 14 ← ←

Substitute y = 14 into x = 5y

x = 5 × 14 = 70 ← ←

Substitute y = 14 into z - y = 28

z - 14 = 28 ( add 14 to both sides )

z = 42 ← ←

Thus x = 70, y = 14 and z = 42

Hence x + y = 70 + 14 = 84