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# Two Numbers Are in the Ratio 7 : 10. If 8 is Added to Each Number, the Ratio Becomes 3 : 4. Find the Nlimbers. - ICSE Class 10 - Mathematics

#### Question

Two numbers are in the ratio 7 : 10. If 8 is added to each number, the ratio becomes 3 : 4. Find the nLimbers.

#### Solution

Let the two numbers be 7x and 10x; since the ratio between numbers is 7 : 10

Now,

(7"x" + 8)/(10"y" + 8) = 3/4

⇒ 28 x + 32 =  30 x + 24

⇒ 2x = 8

⇒ x = 4

∴ 7x =  28

10 x = 40

Therefore, two numbers are 28 and 40.

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#### APPEARS IN

Frank Solution for Frank Class 10 Mathematics Part 2 (2016 to Current)
Chapter 9: Ratio and Proportion
Exercise 9.1 | Q: 15

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Solution Two Numbers Are in the Ratio 7 : 10. If 8 is Added to Each Number, the Ratio Becomes 3 : 4. Find the Nlimbers. Concept: Ratio and Proportion Example.
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