The sum of two number is 2,490 if 6.5%of one number equals to 8.5 % of the other then find the number
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Let the first no. be a
And second no. Be b
According to question
a+b = 2490 -------------(1)
6.5 % of a = 8.5 % of b
=> 6.5a/100= 8.5b/100
=> 6.5a = 8.5b
=> 65a = 85b
=> 13a = 17b
a= 17b/13 -----------(2)
Substituting equation 2 in 1, we get
b + 17b/ 13 = 2490
=> 30b/13 = 2490
=> 30b= 2490 * 13
=> b = 83 * 13
=> b = 1079
a=1411
Required numbers are 1079 and 1411
Hope it will help you......
Please mark as brainliest if you liked the solution
And second no. Be b
According to question
a+b = 2490 -------------(1)
6.5 % of a = 8.5 % of b
=> 6.5a/100= 8.5b/100
=> 6.5a = 8.5b
=> 65a = 85b
=> 13a = 17b
a= 17b/13 -----------(2)
Substituting equation 2 in 1, we get
b + 17b/ 13 = 2490
=> 30b/13 = 2490
=> 30b= 2490 * 13
=> b = 83 * 13
=> b = 1079
a=1411
Required numbers are 1079 and 1411
Hope it will help you......
Please mark as brainliest if you liked the solution
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