Question

A 73 meters long stick is cut into two pieces. The longer piece is 16 meters longer than twice the length of the shorter piece. How long is each piece?

Answer 1

Total length of stick → 73m

Let the shorter length be x

Longer length → 2x + 16

According To Question →

( x ) + ( 2x + 16 ) = 73

→ x + 2x + 16 = 73

→ 3x + 16 = 73

→ 3x = 73 - 16

→ 3x = 57

→ x = 57

           3

→ x = 19m

Shorter piece → x → 19m

Longer piece → 2x + 16 → 2(19) + 16

                       → 38 + 16 → 54m

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Answer 2

$\huge\purple{\underline{\underline{Question:}}}$

A piece of rope is 7m 20cm long. It is cut into 2 pieces. One piece is shorter than the other by 1m 80cm. Find the length of the shorter piece.

$\huge\purple{\underline{\underline{Answer:}}}$

$\bf\underline{Given:}$

• A 73 meters long stick
• Cut into 2 pieces

$\bf\underline{Solution:}$

Let shorter piece be x.

Longer piece = $2x + 16 m$

x + 2x + 16 m = 73 m

=> $3x + 16 m$ = 73

=> $3x$ = 73-16

=> $3x$ = 57

=> $x = \frac{57}{3}$

=> $x = 19 m$

$x = 19 m$ Ans.

$2x + 16 m= 2×19 + 16$

=> $38 + 16 m$

=> $54 m$ Ans.

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