9. One number is twice the other. When the larger number is subtracted from 50, the result is two more than the smaller number subtracted from 40. Find the numbers.
Answers
Answer:
x = 8
other number = 16
Step-by-step explanation: (Break the question and solve)
A number is twice another number.
one number = x
other number = 2x
when the larger is subtracted from 50
50 - 2x
the result is 2 more than when the smaller number is subtracted from 40. find the numbers
(40 - x) + 2
50 - 2x = 40 - x + 2
x = 8
other number =2x = 8 · 2 = 16 (Don't get confused because · stands for multiplication)
Step-by-step explanation:
One number is twice the other.
So,
Let,
- One number = x
- Other number = 2x
When the larger number is subtracted from 50
= 50 - 2x -------- (I)
The result is two more than the smaller number subtracted from 40.
= 40 - x + 2 ----- (II)
★ According to the Question :
⇒ 50 - 2x = 40 - x + 2
⇒ 50 - 2x = 40 + 2 - x
⇒ 50 - 2x = 42 - x
⇒ 50 - 42 = - x + 2x
⇒ 8 = x
One number = 8
• Other number = 2x
= 2x
= 2 × 8
= 16
Other number = 16
Therefore, the numbers are 8 and 16.