two numbers are in the ratio 2.3 if the difference is 66 find the number
Answers
Answer:
Explanation:
Ratio of numbers = 2:3
Let the common ratio be x.
First number = 2x
Second number = 3x
It is given that,
Difference = 66
According to the question ;
First number - second number = 66
⇒ 2x - 3x = 66
⇒ - x = 66
⇒ x = - 66
Thus, numbers are;
- 2x = 2(-66) = -132
- 3x = 3(-66) = - 198
Hence, the required numbers are (-132) and (-198).
Given :
Ratio's of two number
= 2:3
Their difference is
= 66
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To find :
Number
======================
So,
Take two ratio's as
2x and 3x
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According to the question
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Now we are going to verify
our answer
To verify answer we have to
pt the value of 'x' which is 66
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⇒ 3 × 66 - 2 × 66 = 66
⇒ 198 - 132 = 66
⇒ 66 = 66
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L.H.S = R.H.S
Hence it is verified
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First number = 2x
= 2 × 66
= 132
Second number = 3x
= 3 × 66
= 198