SIMPLE EQUATIONS EXERCISE 4.4 1. Set up equations and solve them to find the unknown numbers in the following cases: (a) Add 4 to eight times a number; you get 60. a
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Question
Set up equations and solve them to find the unknown numbers in the following cases :
(a) Add 4 to eight times a number ; you get 60 .
(b) One - fifth of a number minus 4 gives 3 .
(c) If I take three -fourths of a number and add 3 to it . I get 21 .
(d) When I substracted 11 from twice a number , the result was 15 .
(e) Munna substracts thrice the number of notebooks he has from 50 , he finds the result to be 8 .
(f) Ibenhal thinks of a number . If she adds 19 to it and divides the sum by 5 , she will get 8 .
Solution:-
a) Let α be the number.
According to the statement:
4+8α=60
8α=56
⇒α=7
b) Let the number be x.
According to the statement:
5
1
×(x)−4=3
5
x
=7
⇒x=35
c) Let the number be P.
According to the statement:
4
3
(P)+3=21
4
3
(P)=18
⇒P=6×4=24
d) Let the number be $$y$:.
According to the statement.
2y−11=15
2y=26
⇒y=13
(e) Let the number be z.
According to the statement.
50−3(z)=8
3z=42
⇒z=14
(f) Let the number that was thought be k.
According to the statement:
5
(k+19)
=8
k+19=40
⇒k=21
Step-by-step explanation:
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