Question

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

Answer 1

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Let the numbers are 7x and 3x

ATQ
$7x - 3x = 48 \\ 4x = 48 \\ x = \frac{48}{4} \\ x = 12$
Hence the number are
12 x 3 = 36
and
12 x 7 = 84

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Answer 2

Given :-

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

To Find :-

• The Two Numbers

Solution :-

➟ Let the First Number be 7x

➟ Let the Second Number be 3x

According to the Question :

⟾ Difference of Number = 48

⟾ 7x - 3x = 48

⟾ 4x = 48

⟾ x = 48 / 4

⟾ x = 12

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Verification :

➥ Difference of Number = 48

➥ 7x - 3x = 48

➥ 7 × 12 - 3 × 12 = 48

➥ 84 - 3 × 12 = 48

➥ 84 - 36 = 48

➥ 48 = 48

Hence Verified

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Therefore :

• First Number = 7x = 7 × 12 = 84
• Second Number = 3x = 3 × 12 = 36

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