Question. Connie is trying to remember when her grandmother was born. She knows her grandmother's older brother was born in 1932, her older sister was born in 1936, and the gap between her grandmother and her sister is twice the gap between the older brother and the older sister. What year was Connie's grandma born?
Answer. 1944
What step-by-step reasoning justifies that answer?
Reasoning: First find the age gap between the older brother and sister by subtracting the earlier birth year from the later: 1936 - 1932 = 4 years. Then double the age gap to find how many years passed between the sister's birth and the grandmother's: 4 years * 2 = 8 years. Then add 8 years to the older sister's birth year to find the grandmother's birth year: 1936 + 8 = 1944.