Question

The larger of two numbers is 20 more then the smaller. Four times the larger is 70 more then 5 times the smaller.find the numbers.

Answer 1

The larger number is 30 and smaller number is 10.

Step-by-step explanation:

Let,

Larger number = x

Smaller number = y

According to given statement;

The larger number is 20 more than the smaller.

x = y+20    Eqn 1

Four times the larger is 70 more then 5 times the smaller.

4x = 5y+70    Eqn 2

Putting value of x from Eqn 1 in Eqn 2

$4(y+20)=5y+70\\4y+80=5y+70\\80-70=5y-4y\\10=y\\y=10$

Putting y=10 in Eqn 1

$x=10+20\\x=30$

The larger number is 30 and smaller number is 10.

Keywords: linear equation, substitution method

Learn more about substitution method at:

• brainly.com/question/1568359
• brainly.com/question/1575090

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