An aluminum kettle weighs 1.05 kg. How much heat is required to increase the temperature of this kettle from 23.0 °C to 99.0 °C?
Answers
Answer:
Given,
The Sum of the Digits of a two Digit number is 9.
If 9 is added to the number by reversing its digits then the result is thrice the original number.
To Find,
The Two Digit Number
Solution :
\implies⟹ Suppose the digit at the ten's place be x
And, Suppose the digit at the one's place be y
Therefore,
Two Digit Number = 10x + y
Reversing Number = 10y + x
\mapsto \underline{\sf{\pink{According \ to \ the \ First \ Condition :}}}↦
According to the First Condition:
The sum of the digits of a two digit number is 9.
\longrightarrow \sf{x + y = 9}⟶x+y=9
\longrightarrow \boxed{\sf{x = 9 - y}}⟶
x=9−y
1) Equation
\mapsto \underline{\sf{\pink{According \ to \ the \ Second \ Condition :}}}↦
According to the Second Condition:
If 9 is added to the number by reversing its digits,then the result is thrice the original number.
\longrightarrow \sf{3(10x + y) = 10y + x + 9}⟶3(10x+y)=10y+x+9
\longrightarrow \sf{30x + 3y = 10y + x + 9}⟶30x+3y=10y+x+9
\longrightarrow \sf{30x - x = 10y - 3y + 9}⟶30x−x=10y−3y+9
\longrightarrow \sf{29x = 7y + 9}⟶29x=7y+9
║Now Put the Value of x From the Equation First ║
\longrightarrow \sf{29(9 - y) = 7y + 9}⟶29(9−y)=7y+9
\longrightarrow \sf{261 - 29y = 7y + 9}⟶261−29y=7y+9
\longrightarrow \sf{261 - 9 = 7y + 29y}⟶261−9=7y+29y
\longrightarrow \sf{252 = 36y}⟶252=36y
\longrightarrow \sf{y = \dfrac{252}{36}}⟶y=
36
252
\longrightarrow \boxed{\sf{y = 7}}⟶
y=7
║Now Put the Value of y in First Equation ║
\longrightarrow \sf{x = 9 -y}⟶x=9−y
\longrightarrow \sf{x = 9 - 7}⟶x=9−7
\longrightarrow \boxed{\sf{x = 2}}⟶
x=2
Therefore,
\boxed{\bold{\red{Two \ Digit \ Number = 10x + y = 10(2) + 7 = 27}}}
Two Digit Number=10x+y=10(2)+7=27
Answer:
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