Divide 534 into three parts such that the second part will be 32 less than twice the first , and the third will be 18 more than the first.
Plz give me solution....
Answers
Then second part = 2x-32
Third part = x+18
Their sum = 534
x+2x-32+x+18 = 534
4x-14 = 534
4x = 534+14
4x = 548
x = 548/4
x = 137
First part = 137
Second part = 2(137)-32
= 274-32 = 242
Third part = 137+18 = 155
Answer:
First part = 137
second part = 242
third part = 155
Given:
Divide 534 into three parts such that the second part will be 32 less than twice the first , and the third will be 18 more than the first.
To find:
Find the parts.
Step-by-step explanation:
Hint:
The addition of all parts must be equal to 534.
Let us consider the first part be x.
It is given that,
→ the second part will be 32 less than twice the first
so, the second part will be
⇒ 2x - 32.
→ the third will be 18 more than the first.
so, the third part will be
⇒ x + 18
Now, add three parts:
⇒ (x) + (2x - 32) + (x + 18)
⇒ 4x - 14.
This must be equal to 534
∴ 4x - 14 = 534
⇒ 4x = 534 + 14
⇒ 4x = 548
⇒ x = 548/4
⇒ x = 137
Hence,
the part is x = 137
second part = 2x - 32 = 2(137) - 32 = 274 - 32 = 242
third part = x + 18 = 137 + 18 = 155
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