Question

The ratio of two numbers is 7:10 and their difference is 105.The numbers are​

Answer 1

Step-by-step explanation:

10X-7X =105

3X=105

X=105/3

=35

so one number is 35

second number is 70

Answer 2

Solution

Given :-

• The ratio of two numbers is 7:10
• their difference is 105

Find :-

• These Number

Explanation

Let,

• first number be = x
• Second Number be = y

A/C to question,

(The ratio of two numbers is 7:10)

==> x : y = 7 :10

==> x/y = 7/10

==> 10x - 7y = 0 ----------(1)

And,

(their difference is 105)

==> x - y = 105 ------------(2)

Multiply by 10 in equ(2)

==> 10x - 10y = 1050-------(3)

Subtract equ(1) & equ(3)

==> -7y + 10y = -1050

==> 3y = -1050

==> y = -1050/3

==> y = -350

Keep in equ(2)

==> x - (-350) = 105

==> x = 105 - 350

==>x = - 245

Hence

• First Number will be (x) = -245
• Second Number will be (y) = -350

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