Maggie's brother is 6 years younger than four times her age. The sum of their ages is 29. How old is Maggie?

Hi there!

Let m = Maggie's age

Let her brother's age be represented by (4m - 6)

The ages sum up to 29, therefore:

29 = m + (4m - 6)

Combine like terms:

29 = 5m - 6

Add 6 to both sides:

35 = 5m

Divide both sides by 5:

m = 7.

c

step-by-step explanation:

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.