Question

Four whole numbers added three at a time give
sums 180, 197, 208 and 222 respectively. The
largest of the four numbers is
(1) 87
(2) 88
(3) 89
(4) 90
(Odisha, Stage-1, 2012-13)
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Answer 1

Answer:

89

Step-by-step explanation:

let the four no.s be a, b, c, d

a+b+c=180

b+c+d=197

c+d+a=208

a+b+d=222

adding all 4 eqns,

3(a+b+c+d)=807, a+b+c+d=269

now notice a+b+c=a+b+c+d-d

b+c+d=a+b+c+d-a and so on.

so by subtracting the biggest number from a + b + c + d we get the smallest value among a + b + c , b + c + d , c + d + a and a + b + d ie.180

hence d is the biggest number.

269 - d=180

d which is the biggest number is 89

Answer 2

Answer:

answer is 89 as shown in the above picture