johnbeast365 johnbeast365
  • 19-05-2019
  • Mathematics
contestada

Joan is 5 years older than Ellen, and 3 years ago the sum of their ages was 17 years. In how many years will Joan be 21 years old?

Respuesta :

MathPhys
MathPhys MathPhys
  • 19-05-2019

Answer:

7

Step-by-step explanation:

If J is Joan's current age and E is Ellen's current age, then:

J = E + 5

(J - 3) + (E - 3) = 17

Solve the first equation for E:

E = J - 5

Substitute into the second:

(J - 3) + (J - 5 - 3) = 17

J - 3 + J - 8 = 17

2J - 11 = 17

2J = 28

J = 14

Joan is 14, so in 7 years, she will be 21.

Answer Link

Otras preguntas

How to measure own hieght with measuring tape?
How should the writer revise the second sentence in the passage to use passive voice? A movie studio made this exciting film and will release it tomorrow. This
7. Triangle GHI is an isosceles triangle with GH = HI, and mG = 55. What is mI? 8.What is mK?
doing exponential growth,the rate of growth
How does the nucleus control which proteins are made by the ribosomes?
A succession of ocean waves set in motion by a submarine earthquake is called _____.
First right answer gets brainlist 1/3 times x equals 9
Which of the f following is not a characteristic of a pandemic A. It is highly infectious B. It lasts for months C. It affects one region D. It affects a large
In “Darkness,” what is unique about the one specific dog mentioned?
The probability of a randomly selected car crashing during a year in a certain country is 0.04780.0478. if a family has three three ?cars, find the probability