3. Find two numbers such that the sum of thrice the first number and twice the second number is 102. Also five
times the first number exceeds thrice the second number by 18. Find the numbers,
answer is 18,24
please I want processs
Answers
Step-by-step explanation:
first number be x
second number be y
sum of thrice the first number and twice the second number is 102
I.e., 3x+2y=102 eqn1
five times the first number exceeds thrice the second number by 18
I.e., 5x-3y=18 eqn2
solving eqn1 and eqn2
eqn1*3 gives 9x+6y=306
eqn2*2 gives 10x-6y=36
19x=336
x=~18
subs in eqn2
90-3y=18
3y=90-18
y=24
The given question is the sum of thrice the first number and twice the second number is 102. Also five
times the first number exceeds thrice the second number by 18.
we have to find the two numbers.
let the first and second numbers be x and y respectively.
The first condition is the sum of thrice the first number and twice the second number is 102.
The expression is
The second condition is five times the first number exceeds thrice the second number by 18.
The expression is
let the equation be (1) and (2).
we can solve this problem by an elimination method.
equation 1 * 3 we get 9x+6y=306
eauation 2*2 we get. 10x-6y=36.
Adding these two equations we get, 19x = 336.
Therefore the value of x will be 18.
substitute x =18 in 2 nd equation
The value of x and y will be 18 and 24
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