“ Twice a number added to 10 , gives 20.”
a. Write the equation corresponding to the above statement.
b. Write the variable, you have used to form this equation.
c. Pick out the solution from the values given in the brackets [3,5]
Justify your answer, by writing the steps.
PLEASE ANSWER ASAP
Answers
Answer:
let a number be x
according to given condition,
2x + 10 = 20
put x= 3 in equation
L. H. S= 2*3+10
=6+10
=16
now, L. H. S is not equal to R. H. S
put, x= 5 in equation
L. H. S = 2*5+10
= 10+10
= 20
therefore 5 is solution
The equation will be 2y+10=20, with the variable y and the solution equal to 5
Step-by-step explanation:
Given:
The statement is "Twice a number added to 10, gives 20"
To find:
write the equation for the statement, the variable used, and the solution to the equation
Solution:
The statement is given as
“ Twice a number added to 10, gives 20.”
we follow the conditions and form an equation
Let's use the variable y for the equation
Assuming y is the number in the equation
The equation will be
2(y) + 10 = 20
Twice the number y, when added to 10, gives or equals 20
∴ 2y + 10 =20
Solving the equation further to get a solution
∴ 2y =20-10 ...............(bringing like terms together)
∴ 2y = 10
∴ y = 10/2...(bringing the 2 from the left side and dividing on the right side)
∴ y = 5
Thus, the solution of the equation is 5
Hence, a) The equation to the statement is 2y+10=20
b) The variable used to form this equation is y
c) The solution of the equation is 5.
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