Question

54 is divided into two parts such that sum of 10 times the first part and 22 times the second part is 780. What is the bigger part?

• A. 34
• B. 32
• C. 30
• D. 24

Answer 1

The correct option is A

34

Let the 2 parts of 54 be x and y

x+y = 54 ....(i)

and 10x + 22y = 780 ...(ii)

Multiply (i) by 10 , we get

10 x + 10 y = 540 ...(iii)

Subtracting (ii) from (iii)

- 12y = - 240

y = 20

Subsituting y = 20 in x + y = 54 ,
$⟹$ x + 20 = 54
$⟹$x = 34

Hence, x = 34 and y = 20