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

Name: Four whole numbers, when added three at a time, give the sums 180, 197, 208 and 222. The largest of these numbers is
Uploaded: 2026-04-27T18:01:36.748158+05:30
Duration: 4 min 14 s
Description: 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)

Try SRCC free mock tests now SRCC mocks free

Get AI Help

Video Solution

View More Questions From Linear Equations

SRCC Quant Questions | SRCC Quantitative Ability

SRCC DILR Questions | LRDI Questions For SRCC

SRCC Verbal Ability Questions | VARC Questions For SRCC

Free SRCC Quant Questions

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored

Phone Number

Preferred Time