A. sabu's age is 7 time his son's age. Take son's age as x and write sabu's age
B. write their age after 8 year in term of x
C. After 8 year sabu's age is 3 time his son's age. write this relation using an equation?
step by step answers please
Answers
Concept
A variable is anything which possess some value. Variable helps in forming an expression or equation.
Given
Sabu's age is 7 times his son's age.
To find
Sabu's age, their age after 8 years in term of x, write the relation if sabu's age is 8 times the age of his son.
Explanation
The age of Sabu's son is x.
A)Sabu's age is 7 times his son's age so the age of Sabu is 7x.
B) After 8 years the age of Sabu is 7x+8
After 8 years the age of Sabu's son is x+8
C) If after 8 years the age of Sabu is 3 time his son's age then:
7x+8=3(x+8)
7x+8=3x+24
7x-3x=24-8
4x=16
x=4
The relation will be 7x+8=3(x+8) after solving we get the age of son at present is 4.
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Step-by-step explanation:
A. Son's age = x years
Sabu's age = 7 times his son's age = 7x
B.
After 8 years, Son's age = (x + 8) years
Sabu's age = (7x + 8) years
C.
Now, after 8 years, Sabu's age is 3 times his son's age
Son's age after 8 years = (x + 8) years
∴ Sabu's age after 8 years = 3(x+8) years = (3x + 24) years
And also from B, we have
Sabu's age after 8 years = (7x + 8) years
3x + 24 = 7x + 8
7x - 3x = 24 - 8
4x = 16
x = 16/4
x = 4 years
Hence, Son's present age = 4 years
Sabu's present age = 7 x 4 = 28 years.
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