round of the following numbers to the nearest thousand i. 2496 ii.4555
Answers
Answer:
Given :-
The difference between two whole number is 66.
The ratio of these number is 2 : 5.
To Find :-
What is the smaller number.
Solution :-
Let,
\mapsto \bf First\: Number =\: 2a↦FirstNumber=2a
\mapsto \bf Second\: Number =\: 5a↦SecondNumber=5a
\bigstar★ The difference between the whole number is 66.
Hence, according to the question,
\implies \sf 5a - 2a =\: 66⟹5a−2a=66
\implies \sf 3a =\: 66⟹3a=66
\implies \sf a =\: \dfrac{\cancel{66}}{\cancel{3}}⟹a=
3
66
\implies \sf a =\: \dfrac{22}{1}⟹a=
1
22
\implies \sf\bold{\purple{a =\: 22}}⟹a=22
Hence, the required numbers are :
❒ First Number :
\longrightarrow \sf First\: Number =\: 2a⟶FirstNumber=2a
\longrightarrow \sf First\: Number =\: 2(22)⟶FirstNumber=2(22)
\longrightarrow \sf First\: Number =\: 2 \times 22⟶FirstNumber=2×22
\longrightarrow \sf\bold{\red{First\: Number =\: 44}}⟶FirstNumber=44
❒ Second Number :
\longrightarrow \sf Second\: Number =\: 5a⟶SecondNumber=5a
\longrightarrow \sf Second\: Number =\: 5(22)⟶SecondNumber=5(22)
\longrightarrow \sf Second\: Number =\: 5 \times 22⟶SecondNumber=5×22
\longrightarrow \sf\bold{\red{Second\: Number =\: 110}}⟶SecondNumber=110
Here, we can observed that the smaller number is 44.
{\small{\bold{\underline{\therefore\: The\: smaller\: number\: is\: 44\: .}}}}
∴Thesmallernumberis44.
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\large{\boxed{\underline{\underline{\bf{VERIFICATION\: :-}}}}}
VERIFICATION:−
\leadsto \tt{5a - 2a =\: 66}⇝5a−2a=66
By putting a = 22 we get,
\leadsto \tt{5(22) - 2(22) =\: 66}⇝5(22)−2(22)=66
\leadsto \tt{110 - 44 =\: 66}⇝110−44=66
\leadsto \tt{\bold{\pink{66 =\: 66}}}⇝66=66
\rightarrow \sf\bold{\green{L.H.S =\: R.H.S}}→L.H.S=R.H.S
Hence, Verified
Answer:
2496= 2000
4555=5000
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