Question

Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as
Daniel.
Let k be Kevin's age and let d be Daniel's age.
Which system of equations renresents this situation?

Answer 1

Answer:

k - 2 = 4d - 8

d + 1 = 4d - 8

Step-by-step explanation:

Daniel's age = d

Kevin's age = k

Given that, k = d + 3 -------------- (1)

Two years ago, the age of Daniel = d - 2

Two years ago, the age of Kevin = k - 2

Since,  two years ago, Kevin was 4 times as old as

Daniel, k - 2 = 4(d - 2)

Opening the bracket,

k - 2 = 4d - 8

Since the value of k is d + 3 (see (1))

d + 3 - 2 = 4d - 8

d + 1 = 4d - 8

(I am just giving the answer cause I LOVE Linear Equation )

1 + 8 = 4d - d

9 = 3d

9/3 = d

3 = d

Therefore, Daniel's present age is 3 and Kevin's present age = 6

Hope You understood

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