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To get the answer is you have to get the numbers by 3 and 5 and see in what number they will have the same.
3= 3, 6, 9, 12, 15, 18, 21, 24, 27,30
5= 5, 10, 15, 20, 30
The first day they will go to the gym together would be 30.
The number is 11.
Lets assume that the P is the product of the number 'x' and 5, then the equation will become :
P = 5x .......i
now given that the product P is same as the 11 less than 6 times the number 'x'., therefore the equation will become :
P = 6x -11 ......ii
Now from i and ii,
5x = 6x -11 ,
11 = 6x - 5x
therefore, x = 11.
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You can understand this by two ways
1) through congruency rules
It says that triangle ABE is congruent to DCE
So the corresponding angles are equal
Eg
Angle A to Angle D
Angle B to angle C
Angle E to angle E
So they’re asking the angles AEB and DEC (which are equal as per congruency)
Thus you can equate them
4y-15=69
y=21
2) through vertically opposite angles
Since the triangles’ angles are vertically opposite one another, they are equal.
Then you can equate them the same way
Hope this helped!!