Question

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

Answer 1

Answer:

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Step-by-step explanation:

Let us assume the two parts be y and (54 - y).

Then, According to question

10(54 - y) + 22y = 780

⇒ 540 - 10y + 22y = 780

⇒ 12y = 780 -540

⇒ 12y = 240

⇔ y = 20.

∴ Bigger part = (54 - y) = (54 - 20) = 34

OR

Let us divide 54 into 2 parts, say x and (54- x).

So 10 x + 22 (54-x) = 780 (given)

10 x + 22x54- 22x = 780

10 x +1188 - 22 x =780

10 x - 22x = 780 -1188

On simplification 12 x = 408

So x = 34 and 54-x = 54 - 34 = 20

So the 2 parts are 34 and 20.

The larger part is 34.