Answer:
The larger integer is .
Step-by-step explanation:
Given: Two times the smaller of two consecutive integers is equal to more than the larger.
To find: The larger integer.
Solution:
Let the two consecutive integers be and
, where the smaller integer is
and larger integer is
.
Now, according to question.
Two times the smaller integer
more than the larger integer.
So, the smaller integer is , and the larger integer is
Hence, the larger integer is
Given:
Sides of triangles in the options.
To find:
Which could NOT be the lengths of the sides of a triangle.
Solution:
Condition for triangle:
Sum of two smaller sides of a triangle must be greater than the longest side.
In option A,
Sides 5 in, 5 in, 5 in are the lengths of the sides of a triangle.
In option B,
Sides 10 cm, 15 cm, 20 cm are the lengths of the sides of a triangle.
In option C,
Sides 3 in, 4 in, 5 in are the lengths of the sides of a triangle.
In option D,
Since, the sum of two smaller sides is less than the longest side, therefore the sides 8 ft, 15 ft, 5 ft are not the lengths of the sides of a triangle.
Therefore, the correct option is D.