Math, asked by vaishnavie3392, 1 year ago

The sum of the incomes of a and b is more than that of c and d taken together. The sum of the incomes of a and c is the same as that of b and d taken together. Moreover, a earns half as much as the sum of the incomes of b and d. 66. Whose income is the highest ?

Answers

Answered by amitnrw
6

Answer:

b has highest income

Step-by-step explanation:

a + b > c + d

a + c = b + d

a = \frac{b+d}{2}

=>  b+d = 2a

a+c = 2a

c = a

a + b > a + d

b > d

then let say b = d+x  ( as b>d so x is +ve)

=> d = b -x

=> a +c = b + b - x

a = c

=> 2a = 2b - x

=> 2b = 2a + x

=> b = a + x/2

=> b> a

a = c

b > c

it means b has highest income

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