Find out the number

Algebra Level 1

The difference between two numbers is 26 and one number is thrice the the other. Find the smaller number.

12 13

Vishwathiga Jayasankar by vishwathiga jayasankar , 20, India

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3 solutions

Mohammad Khaza
Jul 29, 2017

here it is: 3 x = x + 26 3x=x+26

or, 2 x = 26 2x=26

or, x = 13 x=13

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Sam Bealing
Apr 21, 2016

Let the smaller number be x x :

3 x = x + 26 ⇒ 2 x = 26 3x=x+26 \Rightarrow 2x=26 x = 13 x=\boxed{13}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Let x x be the larger number and y y be the smaller number, then

x − y = 26 x-y=26 ( 1 ) \color{#D61F06}(1)

x = 3 y x=3y ( 2 ) \color{#D61F06}(2)

Substituting ( 2 ) \color{#D61F06}(2) in ( 1 ) \color{#D61F06}(1) , we get

3 y − y = 26 3y-y=26

2 y = 26 2y=26

y = 13 \boxed{y=13}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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