Question

ex 11 g h i j ex 12. b c d

Answer 1

11)
g) 6+[15-(8:ax7+7)]x5=8:(1x4)+3x3=
6+[15-(8:ax7+7)]x5=8:4+9=
6+[15-(8:ax7+7)]x5=2+9
6+[15-(8:ax7+7)]x5=11
[15-(8:ax7+7)]x5=11-6
[15-(8:ax7+7)]x5=5
[15-(8:ax7+7)]=5:5
15-(8:ax7+7)=1
(8:ax7+7)=15-1
8:ax7+7=14
8:ax7=14-7
8:ax7=7
8:a=7:7
8:a=1
a=8

h) 4+4x[4+4x(4+h:4)+4]:4=52
4+4x[4+4x(4+h:4)+4]=52x4
4+4x[4+4x(4+h:4)+4]=208
4+4x(4+16++h+4)=208
4+4x(24+h)=208
4+96+4h=208
4h=208-4-96
4h=108
h=108:4
h=27

i) 834-[(6x137-364:i):7+139]:3=751
i) 834-[(822-364:i):7+139]:3=751
[(822-364:i):7+139]:3=834-751
[(822-364:i):7+139]:3=83
[(822-364:i):7+139]=83x3
(822-364:i):7+139=249
(822-364:i):7=249-139
(822-364:i):7=110
(822-364:i)=110x7
822-364:i=770
364:i=822-770
364:i=52
i=364:52
i=7

j) 234+[(88:4+j)-78:6]x23=809
234+[(88:4+j)-13]x23=809
[(88:4+j)-13]x23=809-234
[(88:4+j)-13]x23=575
[(88:4+j)-13]=575:23
(88:4+j)-13=25
(88:4+j)=25+13
88:4+j=38
22+j=38
j=38-22
j=16

12)
b) 100-{62-3x[12:(5:5+3)+48:4-1]}x5+1=
100-{62-3x[12:(1+3)+12-1]}x5+1=
100-[62-3x(12:4+11)]x5+1=
100-[62-3x(3+11)]x5+1=
100-(62-3x14)x5+1=
100-(62-42)x5+1=
100-20x5+1=
100-100+1=
1

c) {[5:(2x3-1)+14]:15+3:[1+2x(45:15-2)]}:2=
 {[5:(6-1)+14]:15+3:[1+2x(3-2)]}:2=
[(5:5+14):15+3:(1+2)]:2=
[(1+14):15+3:3]:2=
(15:15+1]:2=
(1+1):2=
2:2=
1

d) 5x{55x5-[(55x5-55:5)-55+5]}=
5x{275-[(275-11)-55+5]}=
5x[275-(231-55+5)]=
5x(275-181)=
5x94=
470