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 getÂ : $$3(a+b+c+d)=180+197+208+222$$

=> $$(a+b+c+d)=\frac{807}{3}=269$$

Substituting value from equation (i) in above equation,

=> $$d=269-180=89$$

$$\therefore$$ Largest number =Â **89**

=> Ans - (A)

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