Social Security at 67 or 70
W represents income received starting at age 67
X represents income received starting at age 70
Y represents income received from age 67 to age 70
Z represents the number of months to break-even
MRA of 67 = W
W*1.24% = X
W*36 Months = Y (number of months from age 67 to 70)
Y / (X-W) = Z
Plug in any numbers that you choose and calculate that it will take 150 months to reach the break-even point (also, 150 divided by 12 equal 12.5 years)
Age 70 plus 12.5 equals 82.5