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please answer this question
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Answers
Step-by-step explanation:
1.
(a. )
Let the number be X
8 times a number = 8X
According to the given problem
=> 8X + 4 = 60
=> 8X = 60-4
=> 8X = 56
=> X = 56/8
=> X = 7
The required number = 7
(b.)
Let the number be X
1/5th of the number = X/5
According to the given problem
=> (X/5)-4 = 3
=> X/5 = 3+4
=> X/5 = 7
=> X = 7×5
=> X = 35
The required number = 35
(c.)
Let the number be X
3/4th of the number = 3X/4
According to the given problem
=> (3X/4)+3 = 21
=> 3X/4 = 21-3
=> 3X/4 = 18
=> 3X = 18×4
=> 3X = 72
=> X = 72/3
=> X = 24
The required number = 24
(d.)
Let the number be X
Twice the number = 2X
According to the given problem
=> 2X-11 = 15
=> 2X = 15+11
=> 2X = 26
=> X = 26/2
=> X = 13
The required number = 13
(e.)
Let the number be X
Thrice the number = 3X
According to the given problem
=> 50-3X= 8
=> -3X = 8-50
=> -3X = -42
=> 3X = 42
=> X = 42/3
=> X = 14
The required number = 14
(f.)
Let the number be X
According to the given problem
=> (X+19)/5 = 8
=> X+19 = 8×5
=> X+19 = 40
=> X = 40-19
=> X = 21
The required number = 21
(g.)
Let the number be X
5/2th of the number = 5X/2
According to the given problem
=> (5X/2)-7 = 23
=> 5X/2 = 23+7
=> 5X/2 = 30
=> 5X = 30×2
=> 5X = 60
=> X = 60/5
=> X = 12
The required number = 12
2.
(a.)
Let the lowest score be X
Heighest score = 2X+7
According to the given problem
=> 2X+7 = 87
=> 2X = 87-7
=> 2X = 80
=> X = 80/2
=> X = 40
The lowest score is 40
(b.)
Let the base angle be X° each
The vertex angle = 40°
We know that
The sum of all the three angles in a triangle is 180°
=> X°+X° +40° = 180°
=> 2X°+40° = 180°
=> 2X° = 180°-40°
=> 2X° = 140°
=> X° = 140°/2
=> X° = 70°
The base angles are 70° each.
(c.)
Let the score of Rahul be X
The score of Sachin = 2X
Sum of their score = X+2X = 3X
According to the given problem
=> 3X = 200-2
=> 3X = 198
=> X = 198/3
=> X = 66
The score if Rahul = 66
The score of Sachin = 2×66 = 132
3.
(i.)
Let the marbles of Parmit be X
The marbles of Irfan = 5X+7
According to the given problem
The number of marbles of Irfan = 37
=> 5X+7 = 37
=> 5X = 37-7
=> 5X = 30
=> X = 30/5
=> X = 6
The number of marbles Arpit has 6
(ii)
Let the age of Laxmi be X years
Her father's age = 49 years
According to the given problem
=> 3X+4 = 49
=> 3X = 49-4
=> 3X = 45
=> X = 45/3
=> X = 15
The age of Laxmi = 15 years
(iii)
Let the number of fruit trees be X
The number of non fruit trees = 3X+2
According to the given problem
=> 3X+2 = 77
=> 3X = 77-2
=> 3X = 75
=> X = 75/3
=> X = 25
The number of fruit trees were planted is 25
4.
Let the number be X
7 times the number = 7X
In adding 50 to it = 7X+50
According to the given problem
=> 7X+50 = 300-40
=> 7X+50 = 260
=> 7X = 260-50
=> 7X = 210
=> X = 210/7
=> X = 30
The required number = 30
Answer:
What is prime factorization of 456 in step by step