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