Exercise 4.4
1. Set up equations and solve them to find the unknown numbers in the following cases
(a) The sum of 5 times a number and 6 is 15.
3
(b) If
$
times a number taken away from 16, the result is the number itself.
what is the number.
(c) If I take three-fourths of a number and add 3 to it, I get 21.
(d) When I subtracted 11 from twice a number, the result was 15.
(e) Sahil subtracts thrice the number of notebooks he has from 50, he
finds the result to be 8.
(1) Maria thinks of a number. If she adds 19 to it and divides the sum by 5.
she will get 8.
(g) When 6 subtracted from thrice a number, the result is 9. Find the
number
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8th
Maths
Linear Equations in One Variable
Applications of Linear Equations
Set up equations and solve ...
MATHS
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 .
December 20, 2019avatar
Dhruv Kamakshi
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ANSWER
a) 4+8α=60 let α be the number.
⇒8α=56
⇒α=7
b) let the number be x
Given :-
5
1
×(x)−4=3
5
x
=7⇒x=35
c) let the number be P
Given :-
4
3
(P)+3=21
4
3
(P)=18⇒P=6×4=24
d) let the number be 'y'
Given 2y−11=15
⇒2y=26
⇒y=13
(e) let the number be 'z'
50−3(z)=8
⇒3(z)=4z⇒
′
z
′
=14
(f) let the number that was thought be 'k'
Given :-
5
(k+19)
=8⇒k+19=40
⇒k=21
solution