2 The difference between 13% and 27% of a number is 105. But what is that number?
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The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg. Since the weight is a force, its SI unit is the newton.
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Let those two numbers be x and y
Ratio is 7:10
x/y = 7/10
10x = 7y ———-(1)
[y = 10x/7 ]
Also it is given that,
Either x - y = 105 or y - x = 105
But from equation (1) it is clear that “y” must be a bigger number than “x” because x is multiplied 10 times to get equal to 7 times y.
So,
Valid equation will be:
y - x = 105 ————-(2)
10x/7 - x = 105 ( from equation 1 )
10x - 7x = 735
3x = 735
x = 245
Put x = 245 in equation (2)
y - 245 = 105
y = 350
Ans. X = 245 and Y = 350
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