Question 71
Four whole numbers, when added three at a time, give the sums 180, 197, 208 and 222. The largest of these numbers is
Solution
Let the whole numbers be $$a,b,c,d$$
According to ques, => $$a+b+c=180$$ -------(i)
$$a+b+d=197$$ ------------(ii)
$$a+c+d=208$$ ------------(iii)
$$b+c+d=222$$ -----------(iv)
Adding above equations, we get : $$3(a+b+c+d)=180+197+208+222$$
=> $$(a+b+c+d)=\frac{807}{3}=269$$
Substituting value from equation (i) in above equation,
=> $$d=269-180=89$$
$$\therefore$$ Largest number = 89
=> Ans - (A)
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