The given value is
and the absolute deviation is 6.7.
Let x be the number.
\Write the absolute value equation by using the formula of absolute deviation
.
Therefore absolute value equation is
.
The product of two same signs is positive.
\
.
The above equation in the form
where
and it is equivalent to the statement
.
Rewrite the equation
as two equations
. Then solve each equation separately.
Solve the equation 1:
.
Subtract 3.4 from each side.
\

.
Solve the equation 2:
.
Subtract 3.4 from each side.
\

.
The values of x are
.