When Gopal gives Rs 10 from his money to Laxmi her money becomes double thanthat of the remaining money of Gopal. When Laxmi gives Rs 10 to Gopal his moneyis still Rs 10 less than the remaining money of Laxmi. Find their original sum ofmoney.

money with Gopal rs. 60

money with laxmi Rs. 90

Total money with them = Rs. 150

Step-by-step explanation:

Let money with gopal be x

let money with laxmi be y

Given

Gopal gives Rs 10 from his money to Laxmi her money becomes double thanthat of the remaining money of Gopal

Money left with gopal after giving Rs 10 = x-10

money with Laxmi after getting rs 10 = y+10

according to given condition

money with laxmi = 2*money left with Gopal

y+10 = 2(x-10)

Laxmi gives Rs 10 to Gopal his moneyis still Rs 10 less than the remaining money of Laxmi.

Money left with Laxmi after giving Rs 10 = y-10

money with Gopal after getting rs 10 = x+10

according to given condition

money with laxmi -10 =money  with Gopal

y-10-10 =x+10

y-20 = x+10

=> y = x+10+20

y = x+30

substituting y = x+30 in    y+10 = 2(x-10)

x+30 +10 = 2(x-10)

x+40 = 2x-20

=>40+20 = 2x-x

=> x = 60

y = x+30 = 60+30 = 90

Thus,

money with Gopal rs. 60

money with laxmi Rs. 90

Total money with them = 60+90 = rs. 150

The circle the has a center P(2,0) is bigger than compared to the circle with the center Q(0,4) because the former has a radius 20, while the latter has a radius of only 2. You can view the graph here: 
https://www.desmos.com/calculator/od1pwqylou

(a) Describe the rule for translating center Q onto center P. By moving the center of circle Q overlapping the center of circle P, then we need to move it two units left and 4 units up.

(b) Determine the scale factor for dilating circle Q so that it has the same radius as circle P. In getting the scale factor, we need to compare the radius
= 2/10
= 1/10
So, the scale factor is 1/10

(c) Are circles P and Q similar? Explain your answer.
Yes, by applying a dilation value, circle Q can be transformed to circle P, vice versa.