Solve the following
#Contentquality #spammersstayaway
plzz help me out!!
Answers
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.
ans 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
ans 3. not come space is full
please mark brainliest
Step-by-step explanation:
(1)
Let his present age be 'x' years.
Then his age after 12 years = (x + 12).
His age 4 years ago = x - 4.
According to the given condition,
⇒ x + 12 = 3(x - 4)
⇒ x + 12 = 3x - 12
⇒ x - 3x = -24
⇒ x = 12
Therefore, his present age is 12 years.
(2)
Let the digit in ten's place be x and the digit in one's place be y.
Given, sum of digits = 8.
x + y = 8 -------- (i)
Thus, the original number = 10x + y.
Numbers formed by reversing the digits = 10y + x.
According to the given condition,
⇒ 10y + x = 10x + y + 18
⇒ 10y + x - 10x - y = 18
⇒ 9x - 9y = 18
⇒ x - y = -2 -------------- (ii)
On solving (i) & (ii), we get
x + y = 8
x - y = -2
-------------------
2x = 6
x = 3
Substitute x = 3 in (i), we get
⇒ x + y = 8
⇒ 3 + y = 8
⇒ y = 5
Therefore, the original number = 10x + y = 35.
(3)
Let the carpenter worked for 'x' hours.
Given that he charges Rs.200/hr = 200x.
Cost of material is 1100 and Carpenter charged Rs.2500 for bed.
According to the given condition,
⇒ 200x + 1100 = 2500
⇒ 200x = 2500 - 1100
⇒ 200x = 1400
⇒ x = 7
Therefore, the carpenter worked for 7 hours.
Hope it helps!