2 consecutive even integers.
it means that if the first integer is X. the second one is X+2.
four times the larger is 2 less than 5 times the smaller.
we can easily see that X+2 is larger then X. so 4(X+2) is 2
less the 5X (5 times the smaller).
we want an equation, so to make 4(X+2) equal 5X
we'll increase it by 2. so we get the following equation:
4(X+2)+2 =5X
4X +8 +2 = 5X
10 = X
so our first integer is 10. and the second is X+2
10+2 = 12.
answers are 10 and 12.
re check : 4 times 12 is 2 less then 5 times 10--> 48 is 2 less then 50.