Question

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

Answer 1

Answer:

34

Step-by-step explanation

suppose 54 is divided into x and y

x+y=54             .....(1)

given; 10x+22y=780             ...(2)

to eliminate x, multiply equation (1) by 10

we get,

10x+10y=540    ....(3)

subtract equation (3) from equation(2)

12y=240

y= 20

substitute y=20 in equation (1)

we get,

x=34

the value of bigger part is 34