Question

find two decimal fractions whose sum is 0.9 and the difference is 0.2.

Answer 1

x+y=9/10—(1)
x–y=2/10—(2)
Adding and solving equation (1) & (2)
x=11/20 & y=7/20
The two decimal fractions are 11/20,7/20

Answer 2

Answer:

$\green { Required \: two \: decimals \:are \: 0.55 \:and \: 0.35}$

Step-by-step explanation:

$Let \: \pink {x}\:and \: \blue {y}\:are \: decimal\: fractions$

/* According to the problem given ,

$Sum \: of \: the \: decimals = 0.9$

$\implies x + y = 0.9 \: ---(1)$

$Difference \: of \: the \: decimals = 0.2$

$\implies x - y = 0.2 \: ----(2)$

$Add \: equation\: (1) \:and \: (2) ,\:we \:get$

$x + y + x - y = 0.9 + 02$

$\implies 2x = 1.1$

$\implies x = \frac{1.1}{2}$

$\implies x = 0.55$

$Substitute \: x = 0.55 \: in \: equation \: (2) ,\:we \:get$

$\implies 0.55 + y = 9$

$\implies y = 0.9 - 0.55$

$\implies y = 0.35$

Therefore.,

$\green { Required \: two \: decimals \:are \: 0.55 \:and \: 0.35}$

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