Answer:
Ques 1)
A number decreased by 32 is -58.
Let the number be 'x'.
i.e. x-32=-58
⇒ x= -58+32
⇒ x= -26.
Hence the number is -26.
Ques 2)
The product of 14 and n is -28.
The expression is:
⇒ 14n= -28
on solving we get:
n= -2 ( since on dividing both side by 14)
Ques 3)
Let the number be 'x'.
i.e. 4x=x+78
4x-x=78
3x=78
x=26.
Hence, the number is 26.
Ques 4)
Let the price of red bike is $ r.
so, the cost of blue bike is: $ (r-14)
also, r+r-14=300
2r-14=300
2r=314
r=157
Hence, the cost of red bike is: 157
and the cost of blue bike is: 143
Ques 5)
Let the age of Emma is: x years.
and the age of Alex is x+6 years.
Also,
x+x+6=32
2x+6=32
2x=32-6
2x=22
x=11.
Hence, age of Emma is 11 years.
and age of Alex is 17 years.
Ques 6)
Let age of Mousy is x years.
and age of Mrs. computer= 3x years.
Also,
x+3x=52
4x=52
x=13
Hence age of Mousy is 13 years.
and age of Mrs. Computer is 39 years.
Ques 7)
Let the age of Tom is x years.
so, the age of Mike is (2x+5) years.
Hence,
2x+5+x=65
3x+5=65
3x=60
x=20.
Hence, age of Tom is 20 years.
and age of Mike is: 2×20+5=45 years.
Ques 8)
Let the first integer is 'x'.
second integer is (x+1)
third integer is: (x+2)
Hence, the expression is given as:
(x+1)+(x+2)=17
Ques 9)
Let the first integer is 'x'.
second integer is (x+1)
third integer is: (x+2)
There sum is 108.
Hence,
x+x+1+x+2=108
3x+3=108
Ques 10)
Let the first odd integer is x
the next odd integer will be: x+2.
There sum is 72.
Hence,
x+x+2=72
i.e. 2x+2=72
