Question

15. A and B each has some money. If A gives Rs. 30 to B then B will have twice the money left with
A. But if B gives Rs. 10 to A then A will have thrice as much as is left with B. How much money
does each have?
guys make it fast plz​

Answer 1

Qᴜᴇsᴛɪᴏɴ :-

A and B each has some money. If A gives Rs. 30 to B then B will have twice the money left with A. But if B gives Rs. 10 to A then A will have thrice as much as is left with B.

Sᴏʟᴜᴛɪᴏɴ :-

Let the amount of money which A has be ’x’ and which B has be ‘y'

• ✞ According to 1st condition :-

➦ If A gives Rs 30 to B, then B will have twice the money left with A.

→ y + 30 = 2(x – 30)

→ y + 30 = 2x – 60

→ y = 2x -60-30

→ y = 2x – 90 --------- (1)

• ✞ According to 2nd Condition :-

➦ If B gives Rs 10 to A, then A will have thrice as much as is left with B

→ x + 10 = 3(y - 10)

→ x +10 = 3y -30

→ x = 3y - 30 - 10

→ x = 3y - 40 --------- (2)

➱ Substituting ‘x’ from eq2 in eq1

→ y = 2(3y-40) – 90

→ y = 6y - 80 – 90

→ y - 6y =- 80 – 90

→ -5y = -170

→ y = -170/-5

→ y = Rs. 34

➭ Substitute value of y in eq. 2,

→ x = 3(34) - 40

Thus, x = 102 – 40 = Rs. 62

Hence

• A = 62 ₹

• B = 34 ₹