Wilma is twice as old as jamal, and jamal is 3 years older than tim. the sum of all their ages is 17. let j be jamal's age. write and solve an equation to find jamal's age. user: the sum of two consecutive integers is 183. what is the smaller integer?

Hello there!

If W is the age of Wilma, J the age of Jamal and T the age of Tim, we get:

W = 2J

J - T = 3

J + W + T = 17

And we want to find the age of Jamal.

First, we could replace W using the first equation, and T using the second equation.

By the first equation, we know that W = 2J and whit the second equation we have that T = J + 3, now we can replace this in the third equation and isolate J.

J + W + T = 17

J + 2J + J + 3 = 17

4J = 17 - 3

J = 14/4 = 3.5

So Jamal has 3.5 years.

Second question:  

the sum of two consecutive integers is 183. what is the smaller integer?

two consecutive numbers can be written as N and (N + 1)

then:

N + (N+1) = 183

2N + 1 = 183

2N = 183 - 1 = 182

N = 182/2 = 91

the answe i =−n+5

828. all there is to it!

here, if you ever need with rounding (or other forms of arithmetic/math) again, use this:

thats the rounding one, but if you just click the top left, it shows you all the calculators you may need!