I’m the worst at equations like these
1 answer:
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Answer:
15 years , 12 years , 8 years.
Step-by-step explanation:
Given:
John is 3 years older than Jim.
Jim is 4 years less than twice David’s age.
Ages of three boys add up to 35.
Question asked:
How old are the three boys?
Solution:
Let age of David =
Let age of Jim =
Then age of John will be =
As Jim is 4 years less than twice David’s age
Equation will be ,
Multiplying both side by 2
= (let equation 1 )
As ages of three boys add up to 35.
Equation will be,
=
Subtracting both side by 3
=
= (let equation 2 )
subtracting equation 1 and 2,we get
=
=
=
=
dividing both side by 5
(David ages)
Then ( age of Jim)
=
=
Then age of John will be,
=
Thus, age of John = 15 years
Age of Jim = 12 years
Age of David = 8 years
Answer:
The length of EB is found 15
Step-by-step explanation:
As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding)
We can see in the diagram the chord AB and chord CD intersect each other at point E.
Each of the chord is divided into two segments.
According to the Intersecting Chords Theorem:
Products of the lengths of line segments on each chord are equal
Which means that
(AE)(EB) = (CE)(ED)
Substitute the given values;
(4)(EB) = (10)(6)
4(EB) = 60
EB = 15
