Eli, Freda and Geoff were given ?800 to share in the ratio of their ages. Eli is 9 years old,Feda is 13 years old and Geoff is 1
2 answers:
Answer:
Share of Eli, Freda and Geoff will be $180, $260, $360 respectively.
Step-by-step explanation:
Eli, Freda and Geoff were given $800 to share in the ratio of their age.
Their ages were 9 years, 13 years and 18 years respectively.
Ratio of their ages will be 9 : 13 : 18
Now share of Eli will be =
=
= $180
Share of Freda will be =
= $260
Share of Geoff will be =
= $360
Therefore, share of Eli, Freda and Geoff will be $180, $260, $360 respectively.
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Given:
The three lengths in the options.
To find:
Which three lengths could be the lengths of the sides of a triangle?
Solution:
If the sum of two smaller sides is greater than the largest side, then the three sides can form a triangle otherwise the triangle is not possible.
In option A, the three sides are 4 cm, 8 cm, 13 cm. Here, the largest side is 13 cm.
Sum of two smaller sides is:
So, the triangle is not possible.
In option B, the three sides are 13 cm, 11 cm, 23 cm. Here, the largest side is 23 cm.
Sum of two smaller sides is:
So, the triangle is possible.
In option C, the three sides are 5 cm, 18 cm, 12 cm. Here, the largest side is 18 cm.
Sum of two smaller sides is:
So, the triangle is not possible.
In option D, the three sides are 25 cm, 8 cm, 16 cm. Here, the largest side is 25 cm.
Sum of two smaller sides is:
So, the triangle is not possible.
Therefore, the correct option is B. The three lengths 13 cm, 11 cm, 23 cm could be the lengths of the sides of a triangle.