-16÷16/14 solve the following
Answers
-16/16/14
=-16×14/16
=-14(Ans)
Answer:
Answer :Answer :
16) x = 9
17) Length = 25cm, breadth = 18 cm.
18) Reena = 17 years, Brother = 11 years.
19) Rahim's age = 18 years.
20 (i) m = - 54
20 (ii) m = 9
21 (i) 25 : 2
21 (ii) 25 : 23
21 (iii) 23 : 2
Step-by-step explanation :
16) 3 ( x + 3 ) - 2 ( x - 1 ) = 5 ( x - 5 )
⇒ 3x + 9 - 2x + 2 = 5x - 25
⇒ x + 11 = 5x - 25
⇒ 5x - x = 25 + 11
⇒ 4x = 36
⇒ x = 36 / 4
⇒ x = 9
Check your result ;
Putting the value of x, we get ;
3 ( x + 3 ) - 2 ( x - 1 ) = 5 ( x - 5 )
⇒ 3 ( 9 + 3 ) - 2 ( 9 - 1 ) = 5 ( 9 - 5 )
⇒ 3 * 12 - 2 * 8 = 5 * 4
⇒ 36 - 16 = 20
⇒ 20 = 20
Hence, the value of x is 9.
_______________________
17) Length of wire = Perimeter of rectangle
Now,
Let the breadth of rectangle be x cm and length of rectangle be ( x + 7 ) cm.
According to the question,
Perimeter of rectangle = 86 cm
⇒ 2 ( l + b ) = 86
⇒ 2 ( x + 7 + x ) = 86
⇒ ( 2x + 7 ) = 86 / 2
⇒ 2x + 7 = 43
⇒ 2x = 43 - 7
⇒ 2x = 36
⇒ x = 36 / 2
⇒ x = 18
Now,
Breadth of rectangle = 18 cm.
Length of rectangle = x + 7
= 18 + 7
= 25 cm.
_______________________
18) Let the age of Reena's brother be x.
Then, Reena's age = ( x + 6 )
According to question,
⇒ x + x + 6 = 28
⇒ 2x + 6 = 28
⇒ 2x = 28 - 6
⇒ 2x = 22
⇒ x = 22 / 2
⇒ x = 11
Reena's brother's age = 11 years.
Age of Reena = x + 6
= 11 + 6
= 17 years
_______________________
19) Let the present age of Rahim be x.
After 32 years, his age be ( x + 32 ) years.
And, 8 years ago, his age = ( x - 8 ) years.
According to the question,
x + 32 = 5 ( x - 8 )
⇒ x + 32 = 5x - 40
⇒ 5x - x = 40 + 32
⇒ 4x = 72
⇒ x = 72 / 4
⇒ x = 18
The present age of Rahim is 18 years.
_______________________
20
\begin{gathered}\sf (i) \: \frac{2m}{3} + 8 = \frac{m}{2} - 1 \\ \\ \implies \sf \frac{2m}{3} - \frac{m}{2} = - 1 - 9 \\ \\ \implies \sf \frac{4m - 3m}{6} = - 9 \\ \\ \implies \sf \frac{m}{6} = - 9 \\ \\ \implies \sf m = - 9 \times 6 \\ \\ \therefore \underline{ \bf m = - 54}\end{gathered}
(i)
3
2m
+8=
2
m
−1
⟹
3
2m
−
2
m
=−1−9
⟹
6
4m−3m
=−9
⟹
6
m
=−9
⟹m=−9×6
∴
m=−54
_______________________
20
\begin{gathered}\sf (ii) \: \frac{3}{4} (x - 1) = (x - 3) \\ \\ \implies \sf \frac{3}{4} x - \frac{3}{4} = x - 3 \\ \\ \implies \sf \frac{3x - 3}{4} = x - 3 \\ \\ \implies \sf 3x - 3 = 4x - 12 \\ \\ \implies \sf 3x - 4x = - 12 + 3 \\ \\ \implies \sf \cancel - x = \cancel - 9 \\ \\ \therefore \underline{ \bf x = 9}\end{gathered}
(ii)
4
3
(x−1)=(x−3)
⟹
4
3
x−
4
3
=x−3
⟹
4
3x−3
=x−3
⟹3x−3=4x−12
⟹3x−4x=−12+3
⟹
−
x=
−
9
∴
x=9
_______________________
21) Rohit's Earnings = Rs 15300
Rohit's Saving = Rs 1224
⇒ Expenditure = Rs ( 15300 - 1224 )
⇒ Expenditure = Rs 14076
(i) Ratio of his income and savings,
⇒ Ratio = Income / Saving
⇒ Ratio = 15300 / 1224
⇒ Ratio = 25 / 2
⇒ Ratio = 25 : 2
(ii) Ratio of his income and expenditure
⇒ Ratio = Income / expenditure
⇒ Ratio = 15300 / 14076
⇒ Ratio = 25 / 23
⇒ Ratio = 25 : 23
(iii) Ratio of his expenditure and saving
⇒ Ratio = expenditure / Saving
⇒ Ratio = 14076 / 1224
⇒ Ratio = 23 / 2
⇒ Ratio = 23 : 2
_______________________
Thanks for this question