<h2>
Answer: 31 & 32</h2>
Step-by-step explanation:
So we first need to assign letters to represent the numbers.
Let 'a' be the larger number and 'b' the smaller.
Now we can use this to write equations that we can solve simultaneously to find both 'a' and 'b'.
according to the question:
a + 4b = 156 [1]
a - b = 1 [2] (this is because the integers are consecutive
We can rearrange [2] to make 'a' the subject: a = b + 1 [3]
We can then substitute [3] into [1] and solve for b
(b + 1) + 4b = 156
5b = 155
b = 31
Now we can find 'a' using [3]
a = 31 + 1
a = 32
Answer:
3 feet long
Step-by-step explanation:
4 1/4x3=12 3/4
I= Ishaan's age= 2C
C= Christopher's age
35 years ago means we have to subtract 35 from their current age. Ishaan minus 35 equals 7 times Christopher minus 35 years.
CHRISTOPHER'S AGE:
I - 35= 7(C-35)
substitute I=2C in for I
multiply 7 by all in parenthesis
2C - 35= 7C - 245
add 35 to both sides
2C= 7C - 210
subtract 7C from both sides
-5C = -210
divide both sides by -5
C= 42 Christopher's age
ISHAAN'S AGE:
I= 2C
substitute C=42 to find Ishaan's age
I= 2(42)
I= 84 Ishaan's age
CHECK:
Substitute answers in original equation
I - 35= 7(C-35)
84 - 35= 7(42-35)
49= (7*42)+(7*-35)
49= 294-245
49=49
Hope this helps! :)
First, familiarize yourself with the math formula, use memorization techniques (ex.flashcards), understand the formulas, and get plenty of sleep.
