Solve the following
#Contentquality #spammersstayaway
Answers
Answer:
1
Let the present age of Kanwar is x years
Kanswar's age after 12 years = (x + 12) years
Kanwar's age 4 years ago = (x – 4) years
Given (x + 12) = 3(x – 4)
⇒ x + 12 = 3x – 12
⇒ 12 + 12 = 3x – x = 2x
⇒ 2x = 24
Hence x = 12
Kanwar's present age is 12 years.
2
Let the two digit number be xy
x + y = 8
Right away I can logically see that, since the value
increases if the digits are reversed, our choices are:
17
26
35
If I reverse 17 I get 71 .. This is more than an 18 increase
If I reverse 26 I get 62 ... This is more than an 18 increase
If I reverse 35 I get 53... 35 + 18 = 53 so this is my answer
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Now algebraically:
x + y = 8 {equation 1}
The value of xy is 10x + y
The value of yx is 10y + x
10y + x = 10x + y + 18
9y - 9x = 18
9(y - x) = 18
y - x = 2
From equation 1: y = 8-x
8 - x - x = 2
8 - 2x = 2
-2x = -6
x = 3
y - x = 2
y - 3 = 2
y = 5
Original number xy = 35
3
Let the carpenter worked for x hr.
Given, labour charge = Rs. 200 per hr
Then, total labour charge = Rs. 200x
As, amount charged by carpenter for making a bed = cost of materials + total labour charge
∴2500 = 1100 + 200x
200x = 2500-1100
200x = 1400
Hence, the carpenter worked for 7hrs
Answer:
ans 1. Let the present age of Kanwar is x years Kanswar's age after 12 years = (x + 12) years Kanwar's age 4 years ago = (x – 4) years Given (x + 12) = 3(x – 4) ⇒ x + 12 = 3x – 12 ⇒ 12 + 12 = 3x – x = 2x ⇒ 2x = 24 Hence x = 12 Kanwar's present age is 12 years.
and 2. Let the two digit number be xy
x + y = 8
Right away I can logically see that, since the value
increases if the digits are reversed, our choices are:
17
26
35
If I reverse 17 I get 71 .. This is more than an 18 increase
If I reverse 26 I get 62 ... This is more than an 18 increase
If I reverse 35 I get 53... 35 + 18 = 53 so this is my answer
*************************************
Now algebraically:
x + y = 8 {equation 1}
The value of xy is 10x + y
The value of yx is 10y + x
10y + x = 10x + y + 18
9y - 9x = 18
9(y - x) = 18
y - x = 2
From equation 1: y = 8-x
8 - x - x = 2
8 - 2x = 2
-2x = -6
x = 3
y - x = 2
y - 3 = 2
y = 5
Original number xy = 35
ans 3.not come space is full
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