Question 1191620

james is 4 years less than 7 times the age of his daughter,who is 4 more than half of her brothers age. the sum of their ages is 38. How old is James?
<pre>Let daughter's age be D
Then James' age is 7D - 4
Also, daughter's age, or {{{matrix(1,19, D, "=", (1/2), of, "brother's", age, "+", "4,", "or", D, "=", matrix(1,1, ("brother's_age")/2), "+", "4,", or, "brother's", age, "=", 2D - 8)}}}

Since all ages sum to 38, we get: D + 7D - 4 + 2D - 8 = 38
10D - 12 = 38
18D = 50
Daughter's age, or {{{matrix(1,5, D, "=", 50/10, "=", 5)}}}
<font size  = 4><font color = blue><b>James' age: 7(5) - 4 = 35 - 4 = 31</font></font></b></pre>