izzyperez143 izzyperez143
  • 19-12-2019
  • Mathematics
contestada

Mary’s dad is 3 years less than double her age. The difference in their age is 31.

Respuesta :

altavistard
altavistard altavistard
  • 22-12-2019

Answer:

Mary is 34 years old, and Dad is 34 + 31, or 65, years old.

Step-by-step explanation:

Represent the ages of Dad and Mary by d and m respectively.

Write and solve a system of linear equations as follows:

d = 2m - 3

d - m = 31

Substituting 2m - 3 for d in the second equation, we get:

2m - 3 - m = 31

Combining like terms results in

m = 34.  Mary is 34 years old, and Dad is 34 + 31, or 65, years old.

Answer Link

Otras preguntas

why does the density of a substance remain the same for different amount of the substance
What is 986.532 in expanded form
Parallel to y=2x+1 Goes through (5,4)
In one day, Annie traveled 5 times the sum of the number of hours brian traveled and 2. Together they traveled 20 hours. Find the number of hours each person tr
An Airport offers to shuttle that run on different schedules. If both shuttles leave the airport at 4 o'clock p.m. at what time will they next leave the airpor
What is bigger 3/4 11/16
Compare and contrast hypothesis and prediction
52 is 12.5 of what number
There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes at the sanctuary. Each year 4 m
Choose the equation that models the problem. Zach's baseball team won 32 games last season. They played a total of 45 games. How many games did they lose overal