SOLUTION: Hi there, this is the question: Maggie is x years old, Nigel is twice maggies age, Helen is 4 years older than nigel. Their total combined age is 64 years. Form an equation and

Algebra ->  Linear-equations -> SOLUTION: Hi there, this is the question: Maggie is x years old, Nigel is twice maggies age, Helen is 4 years older than nigel. Their total combined age is 64 years. Form an equation and       Log On


   



Question 563653: Hi there, this is the question: Maggie is x years old, Nigel is twice maggies age, Helen is 4 years older than nigel.
Their total combined age is 64 years. Form an equation and solve it to find helens age.
Cheers

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
given:
(1) +m+=+x+
(2) +n+=+2x+
(3) +h+=+n+%2B+4+
(4) +x+%2B+n+%2B+h+=+64+
---------------------
Substitute (2) into (3)
(3) +h+=+2x+%2B+4+
---------------------
(4) +x+%2B+2x+%2B+2x+%2B+4+=+64+
(4) +5x+=+60+
(4) +x+=+12+
Maggie is 12
Nigel is 24
Helen is 24 + 4 = 28
check:
+12+%2B+24+%2B+28+=+64+
+36+%2B+28+=+64+
+64+=+64+
OK