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The Sum of Two Numbers is 99. If One Number is 20% More than the Others, Find the Two Numbers. - Mathematics

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प्रश्न

The sum of two numbers is 99. If one number is 20% more than the others, find the two numbers.

योग

उत्तर

Let the one number be x.
So, the other number is 99 -x
As per the given condition,
99 - x = 20% of x + x

⇒ 99 - x = `(20)/(100)x xx + x`

⇒ 99 = `(20x)/(100) + 2x`

⇒ 99 = `(220x)/(100)`

⇒ x = `(99 xx 100)/(220)`
⇒ x = 45
and
99 - x
= 99 - 45
= 54
Hence, the numbers are 45 and 54.

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Simple Linear Equations in One Variable
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Linear Equations - Exercise 7.4

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 7 Linear Equations
Exercise 7.4 | Q 10
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