A boy was asked to multiply a number by 23. He instead multiplied the number by 32 and got the answer 144 more than the correct answer. The number to be multiplied was :a.17b.16c.14d.15
Question
A boy was asked to multiply a number by 23. He instead multiplied the number by 32 and got the answer 144 more than the correct answer. The number to be multiplied was :a.17b.16c.14d.15
Solution
Let's solve this step by step:
-
Let's assume the number to be multiplied is x.
-
According to the problem, the boy was supposed to multiply the number by 23, so the correct answer should be 23x.
-
But he multiplied the number by 32, so he got 32x.
-
It's given that the result he got was 144 more than the correct answer. So, we can write the equation as: 32x = 23x + 144.
-
To solve for x, we first subtract 23x from both sides of the equation to get: 32x - 23x = 144, which simplifies to 9x = 144.
-
Finally, we divide both sides of the equation by 9 to solve for x: x = 144 / 9.
-
So, x = 16.
Therefore, the number to be multiplied was 16, so the correct answer is (b) 16.
Similar Questions
A boy was asked to multiply a certain number by 25. He multiplied it by 52 and got his answer more than the correct one by 324.The number to be multiplied was
A boy was asked to multiply a number by 25 but by mistake he multiplied by 45 and the answer was 200 more than the correct answer. What was the number?78910
A Student was asked to multiply a number by 3/2 but he divided that number by 3/2. His result was 10 less than the original answer. The number was:15101220
If '+' means 'divided by', '-' means 'added to', 'x' means 'subtracted from' and '÷' means 'multiplied by', then what is the value of 24 ÷ 8 - 18 + 9Options193194195199
When a number is divided by 13, the remainder is 10. When the same number is divided by 17, the remainder is 8. What is the number?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.