The larger number is 66 and the smaller number is 14.
Step-by-step explanation:
Let,
The larger number = x
The smaller number = y
According to given statement;
x-y=52 Eqn 1
5y = x+4 Eqn 2
From Eqn 2
x = 5y-4 Eqn 3
Putting value of x from Eqn 3 in Eqn 1
[tex]5y-4-y=52\\4y=52+4\\4y=56[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{56}{4}\\y=14[/tex]
Putting y=14 in Eqn 3
[tex]x=5(14)-4\\x=70-4\\x=66[/tex]
The larger number is 66 and the smaller number is 14.
Keywords: linear equation, substitution method
Learn more about substitution method at:
- brainly.com/question/10736268
- brainly.com/question/10764770
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