Question

the difference between the two number is48 . the ration of the 2 no.is 7:3 . find the 2 no.
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Answer 1

Answer:

84, 36

Step-by-step explanation:

7x-3x=48=4x

x = 48 divided by 4

x = 12

7x = 7 into 12 = 84

3x = 3 into 12 = 36

Answer 2

Appropriate Question:

• The difference between two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers.

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Given:

• The difference between two numbers is 48.
• The ratio of the two numbers is 7:3.

Need to find:

• The two numbers.

❍ Let the given two numbers are 7x and 3x respectively.

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$\underline{\boldsymbol{According\: to \:the\: Question :}}$

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$:\implies\sf 7x - 3x = 48 \\\\\\:\implies\sf 4x = 48 \\\\\\:\implies\sf x = \cancel\dfrac{48}{4} \\\\\\:\implies{\underline{\boxed{\frak{\pink{x = 12}}}}}\;\bigstar$

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Hence,

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• First number, 3x = 3(12) = 36

• Second number, 7x = 7(12) = 84

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$\therefore\:{\underline{\sf{The \: required\; two \; numbers\; are\: {\textsf{\textbf{36\;\& 84}}}.}}}$

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$\qquad\quad\boxed{\underline{\underline{\pink{\bigstar \: \bf\: Verification\:\bigstar}}}}$

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• The difference b/w both numbers is 48.

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$:\implies\sf 7x - 3x = 48 \\\\\\:\implies\sf 7(12) - 3(12) = 48 \\\\\\:\implies\sf 84 - 36 = 48 \\\\\\:\implies\sf 48 = 48$

⠀⠀⠀⠀⠀⠀⠀⠀⠀$\therefore$ Hence Verified!⠀