Math, asked by kravi766243, 4 months ago

find the gcd of 9a^2b^2c^2,15a^3b^2c^4

Answers

Answered by konanagarajukona
0

Step-by-step explanation:

Answer:-

\red{\bigstar}★ Cost of

Bat \large\leadsto\boxed{\tt\purple{Rs. 325}}⇝Rs.325

Umbrella \large\leadsto\boxed{\tt\purple{Rs. 175}}⇝Rs.175

• Given:-

Price of bat and umbrella is Rs. 500

Cost of the bat is Rs. 150 more than that of umbrella

• To Find:-

Cost of bat and umbrella.

• Solution:-

Let the cost of the bat be 'x' and cost of the umbrella be 'y'.

• According to the question:-

Price of bat and umbrella is Rs. 500

Therefore,

\pink{\bigstar}★ \bf{x + y = 500} \dashrightarrow\bf\red{[eqn.i]}x+y=500⇢[eqn.i]

Also,

The cost of bat is Rs. 150 more than that of umbrella.

We know, Cost of umbrella is y and of bat is x.

Hence,

\pink{\bigstar}★ \bf{x = y+150} \dashrightarrow\bf\red{[eqn.ii]}x=y+150⇢[eqn.ii]

• Substituting the eqn.[ii] in eqn.[i]:-

→ \sf x+y = 500x+y=500

→ \sf y+150 + y = 500y+150+y=500

→ \sf 2y + 150 = 5002y+150=500

→ \sf 2y = 500-1502y=500−150

→ \sf 2y = 3502y=350

→ \sf y = \dfrac{350}{2}y=2350

\pink{\bigstar}★ \large{\tt\blue{y = 175}}y=175

• Substituting the value of y in eqn.[i]:-

→ \sf x + y = 500x+y=500

→ \sf x + 175 = 500x+175=500

→ \sf x = 500 - 175x=500−175

\pink{\bigstar}★ \large{\tt\blue{x = 325}}x=325

Therefore, the cost of bat is Rs. 325 and the cost of umbrella is Rs. 175.

\red{\bigstar}★ Verification:-

→ \sf 175 + 325175+325

→ \sf 500500

★ HENCE VERIFIED★

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