Hyun is comparing two numbers. he knows the larger number is twice the value of 4 more than the smaller number, x. he also knows their difference is 11 which equation can he use to find the value of the smaller number x

Question

Thomas Clements

Mathematics

12 January, 06:45

Hyun is comparing two numbers. he knows the larger number is twice the value of 4 more than the smaller number, x. he also knows their difference is 11 which equation can he use to find the value of the smaller number x

+4

Answers (1)

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Alannah · Answer 1

Let b>a ...

b=2 (a+4)

b=2a+8 then we are told that:

b-a=11 using b found above in this equation gives you:

2a+8-a=11 combining like terms on left side

a+8=11 subtracting 8 from both sides

a=3

So the smaller number is 3.

...

since b=2a+8

b=14

check ...

b=2 (a+4)

14=2 (3+4)

14=2 (7)

14=14

and

b-a=11

14-3=11

11=11