Two siblings’ ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.
Write a system of 2 equations. Solve the system using substitution. Report your answer in the form of (older, younger).
Question
Question
Two siblings’ ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.
Write a system of 2 equations. Solve the system using substitution. Report your answer in the form of (older, younger).
Hi!
So we have to make a system of equations here.
Let sibling 1 be O and sibling 2 be Y (for older and younger)
So:
O + Y = 64
O = 64 – Y
(Either one works)
The older sibling is 6 years older.
O = Y + 6
Make everything in terms of Y.
64 – Y = Y + 6
Same to both:
58 = 2y
2y = 58
Divide by 2 on both sides:
y = 29
Since the older sibling is 6 years older:
29 + 6 = 35
Y = 29
O = 35
Let me know if you have any questions.