Woman 4342

If we add the age of a man and a woman, we get the sum of 91. He is now twice as much. How old was she when he was as old as she was now?

Correct answer:

z =  30.3333

Step-by-step explanation:


z+m=91
2n = m
n = z

z+m=91
2·n = m
n = z

m+z = 91
m-2n = 0
n-z = 0

Row 2 - Row 1 → Row 2
m+z = 91
-2n-z = -91
n-z = 0

Row 3 - 1/-2 · Row 2 → Row 3
m+z = 91
-2n-z = -91
-1.5z = -45.5


z = -45.5/-1.5 = 30.33333333
n = -91+z/-2 = -91+30.33333333/-2 = 30.33333333
m = 91-z = 91-30.33333333 = 60.66666667

m = 182/3 ≈ 60.666667
n = 91/3 ≈ 30.333333
z = 91/3 ≈ 30.333333

Our linear equations calculator calculates it.



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