प्रश्नावली-4H
1. x के लिए हल कीजिए-
x + 3x =25
2 4
= 2x+3x =25
4
=5x=100
x=100/5=20
2. x + x =10
3 6
= 2x+x =10
6
=3x=10×6=60
x=60/3=20
3. 1 x + 1 = 1 x-1
8 8 7
x+1 = x-7
8 7
7(x+1)=8(x-7)
7x+7=8x-56
7x-8x=-56-7=-63
-x=-63, x=63
4. x + x + x =13
2 3 4
6x+4x+3x =13
12
13x =13
12
x=12
5. x + 1 x- 1 x=4x-17
1 2 3
6x+3x-2x =4x-17
6
7x=6(4x-17)
7x=24x-102
7x-24x=-102
-17x=-102, x=-102/-17=6
6. x + 3 =2x – 9
4 4
4x+3 = 8x-9
4 4
4x+3=8x-9
4x-8x=-9-3
-4x=-12
x=-12/-4=3
7. 2 x + 3 x + 4 x=4 13
3 4 5 30
40x + 45x + 48x = 133
60 30
133x = 133
60 30
x= 133×60 =2
133×30
8. x + 3x – 5 =3 – x + 1
4 8 8 6 3
x + 3x + x =3+ 1 + 5
4 8 6 3 8
6x+9x+4x = 72+8+15
24 24
19x = 95
24 24
19x=95
x=95/19=5
9. x – 1 = x – 7
30 33 11 22
11x -10 = 2x – 7
330 22
22(11x-10)=330(2x-7)
11x-10=15(2x-7)
11x-10=30x-105
11x-30x=-105+10
-19x=-95
x=-95/-19=5
10. x – a × x – b =2
b b a a
ax-a²+bx-b² =2
ab
x(a+b)-a²-b²=2ab
x(a+b)=2ab+a²+b²=(a+b)²
x= (a+b)² =a+b
a+b
11. 16-x = 22
x 10
10(16-x)=22x
160-10x=22x
160=22x+10=32x
x=160/32=5
12. 0.32(5x-2)=0.8x+14
0.32×5x-0.32×2=0.8x+14
1.60x-0.64=0.8x+14
1.60x-0.8x=14+0.64
0.8x=0.64
x=14.64/0.8=18.3
13. 0.6x+1 – 1 =0.28x+1+0.16
5
3x+5-1 =0.28x+1+0.16
5
3x+4=5(0.28x+1.16)
3x+4=1.4x+5.8
3x-1.4x=5.8-1
1.6x=4.8
x=4.8/1.6=3
14. y के लिए हल कीजिए:
0.4(5y-200)=-0.8×25y+0.5×60
0.4(5y-200)= -0. 8×25y+0.5×60
2y-80=-20y+30
2y+20y=30+80
22y=110
y=110/22=5
15. m के लिए हल कीजिए-
0.12m×50-0.8×100=0.2(40-80m)
6m-80=8-16m
6m+16m=8+80
22m=88
m=88/22=4
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