Question

7. If 45 is subtracted from twice the greater of two numbers, it results in
the other number. If 21 is subtracted from twice the smaller number, it
results in the greater number. Find the numbers.
1:1dby the smaller we​

Answer 1

ANSWER:

Given:

• If 45 is subtracted from twice the greater of two numbers, it results in the other number.
• If 21 is subtracted from twice the smaller number, it results in the greater number.

To Find:

• The numbers

Solution:

Let the numbers be x and y respectively.

Here, x is the greater number.

We are given that, if 45 is subtracted from twice the greater of two numbers, it results in the other number.

This means,

⇒2x - 45 = y -------(1)

And,

We are given that, if 21 is subtracted from twice the smaller number, it results in the greater number.

This means,

⇒2y - 21 = x --------(2)

Substituting value of y from (1) in (2),

⇒2(2x - 45) - 21 = x

⇒4x - 90 - 21 = x

Transposing x to LHS, and constants to RHS,

⇒4x - x = 90 + 21

⇒3x = 111

⇒x = 111/3

⇒x = 37.

Substituting value of x in (1),

⇒2(37) - 45 = y

⇒74 - 45 = y

⇒y = 29.

Hence, the numbers are 37 and 29 respectively.