4The age of the parents as equations

Tina's parents gave her good hints to make two equations.

Father: "If you double my age and add half of your mother's age to her age, that adds up to 150 years."

First, Tina defines some variables.

• $m\ \widehat{=}$ age of the mother

• $v\ \widehat{=}$ age of the father

From the father's statement, Tina gets the first equation:

• Double the father's age: $2v$

• Add half to the mother's age: $m+0{,}5m=1{,}5m$

Mother: "If you add three years to my age and subtract two years from your father's, we are the same age!"

• Add $3$ to the mother's age:$\quad m+3$

• Subtract $2$ from the father's age: $\qquad v-2$