Mrs.Santos is 20 years older than her daughter.In 5 years,she will be 5 years more than twice as old as her daughter.Find their present age.

Guest Jun 2, 2020

#1**+1 **

**Mrs.Santos is 20 years older than her daughter. In 5 years,she will be 5 years more than twice as old as her daughter. Find their present age.**

**x is Mrs.Santos**

**y is her daughter**

\(\begin{array}{|lrcll|} \hline (1) & \mathbf{x} &=& \mathbf{ y +20} \\\\ (2) & \mathbf{x+5} &=& \mathbf{2(y+5)+5} \quad | \quad x=y+20 \\ & y+20+5 &=& 2(y+5)+5 \\ & y+25 &=& 2y+10+5 \\ & y+25 &=& 2y+15 \\ & 25-15 &=& 2y-y \\ & \mathbf{10} &=& \mathbf{y} \\\\ (1) & x &=& y +20 \\ & x &=& 10 +20 \\ & \mathbf{x} &=& \mathbf{30} \\ \hline \end{array}\)

She is **30 **years old and her daughter is **10 **years old.

heureka Jun 2, 2020

#2**+1 **

S = D +20 and in 5 years:

S+5 = 2(D +5) +5 or S = 2D+10 Sub into first equation

2D+10 = D +20

D = 10 then S = 30

ElectricPavlov Jun 2, 2020