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2 (A - 10)
2 (B - 10)
A - 10 = B - 10
Dentro de 10 años :
B + 10
3/4 (A + 10)
Resolvemos :
A - 10 = 2 (B - 10)
B + 10 = 3/4 (A + 10)
A - 10 = 2B - 20
1) A = 2B - 10
B + 10 = 3/4 (A + 10)
3/4 (2B - 10 + 10)
B + 10 = 3/4 * 2B
4 (B + 10) = 2 * 3B
4B + 40 = 6B
4B - 6B = - 40
- 2B = - 40
B = -40/-2
B = 20
Reemplazo el valor de B en la primera ecuación.
A = 2B - 10
A = 2 (20) - 10
A = 40 - 10
A = 30
Solución :
A tiene 30 años
B tiene 20 años