Question

if A% of 240 is C% if A is 117.6 then find the value of A+C​

Answer 1

QUESTION:

• If A% of 240 is C and C% of A is 117.6 then find the value of A+C

ANSWER:

Given:

• A% of 240 = C
• C% of A = 117.6

To Find:

• Value of A + C

Solution:

We are given that,

⇒A% of 240 = C

So,

⇒(A/100) × 240 = C

So,

⇒24A/10 = C

Hence,

⇒12A/5 = C------(1)

We are also given that,

⇒C% of A = 117.6

So,

⇒(C/100) × A = 117.6

Hence,

⇒ AC = 11760

From (1),

⇒ A(12A/5) = 11760

So,

⇒ 12A² = 5 × 11760

⇒ 12A² = 58800

Now,

⇒ A² = 58800/12

Hence,

⇒ A² = 4900

Therefore,

⇒ A = √(4900)

Hence,

⇒ A = ±70

So, putting value of A in (1),

⇒12(±70)/5 = C

Now,

⇒ 12(±14) = C

Therefore,

⇒C = ±168

We need to find the value of A+C.

So,

⇒A + C

(For A = +70 & C = +168)

Hence,

⇒A + C = 70 + 168.

Therefore,

⇒A + C = 238

And,

(For A = -70 & C = -168)

Hence,

⇒A + C = -70 - 168.

Therefore,

⇒A + C = -238

Therefore,

⇒ A + C = ±238

Answer 2

Answer:

238

Step-by-step explanation:

(a × 240)/100 = c

⇒ a/c = 5/12

Let the number a and c be 5x and 12x

(12x × 5x)/100 = 117.6

⇒ 60x2 = 11760

⇒ x2 = 11760/60

⇒ x2 = 196

⇒ x = 14

(a + c) = (5x + 12x) = 17x

After putting the value of x

17x = 17 × 14

⇒ (a + c) = 238