twenty - four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146.find each part
Answers
Answer:
Hint:Here, let the first number be x, then the second number will be (24 – x). Also form mathematical equations using the second condition given in question. Solve the equation and find the value of x. Value of x obtained will be the first number and (24 – x) will be the second number.
Complete step by step answer:
Let the first part be x and second part be (24 – x). Now according to given condition,
7x+5(24–x)=1467x+5(24–x)=146
On simplifying
7x+120–5x=1467x+120–5x=146
On separating constants and variables
2x=146–120⇒2x=26⇒x=132x=146–120⇒2x=26⇒x=13
Therefore, the first number is 13 and the second number is (24 – x) = 24 – 13 = 11.
Verification:
Condition 1: Sum of two numbers should be 2424.
13+11=2413+11=24 (Satisfied)
Condition 2: 7 times the first part added to 5 times the second part makes 146146.
7 times the first number means 7×13=917×13=91.
And 5 times of second numbers means 5×11=555×11=55.
91+55=14691+55=146 (Satisfied)
Note: In these types of questions, form mathematical equations based on conditions given in question by letting numbers as x and y and make two equations con
Answer:
Let the two parts of the number be x and (24-x)
According to the question we can write as7x+5(24−x)=146
7x + 120 - 5x = 146
2x = 146 - 120
2x = 26
x = 26/2
⇒x=13
And also (24−x)=24−13=11
So the parts are 13 and 11