The ages of three brothers is 83 years . The oldest brother is twice the age of the middle and the middle brother is 5 years older than the youngest . Define a variable . Write and solve an equation to determine the ages of the three brothers.
The ages of three brothers is 83 years . The oldest brother is twice the age of the middle and the middle brother is 5 years older than the youngest . Define a variable . Write and solve an equation to determine the ages of the three brothers.
Let a be the age of youngest brother, we have:
a +5=age of middle brother, and,
2(a + 5)=age of oldest brother, then we have:
a + a + 5 + 2(a + 5)=83
2a + 5 + 2a + 10=83
4a=68
a=17 The age of youngest brother
17 + 5=22 The age of middle brother
22 X 2=44 The age of oldest brother, so that:
17 + 22 +44=83
