54 is to be divided into two parts such that the sum of 10 times the f

1.	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» 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

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»

Answer:

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

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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

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