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

step-by-step explanation: you take each of the numbers and divide by the amount then you take the range

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.