Posted by **rita** on Sunday, July 14, 2013 at 6:11pm.

A. In 1 year Kristen will be four times as old as Danielle. Ten years from then Kristen will only be twice as old as Danielle. How old is Kristen now?

B. The greater of two integers is 4 times the lesser. Of the lesser integer is increased by 12, the result is 3 less than the greater.Find the integers.

C. One number exceeds another by 12, and the sum of the smaller number and twice the larger number is 93. Find the numbers.

- math -
**mahesh**, Monday, July 15, 2013 at 4:23am
Let present age of Kristen be x and of Daniel be y.Then after 1 year,

x+1=4(y+1)or x-4y=3.....Eq.1

After 10 yrs from then, ages will be

(x+1)+10=2[(y+1)+10] Or x+11=2y+22

Or x-2y=11 .....Eq.2. Subtract eq. 1 from eq.2 and solve. We get y=4 and x=19.

Check: After 1 year Kristen will be 20 and Daneil will be 5. After another 10 yrs K will be 30 and D will be 15. OK.

Let smaller and greater integers be x and 4x. Then x+12=4x-3 or -3x=-15

Or x=5, and larger integer will be 20.

Check: 5+12=17=20-3. OK.

Let smaller no. be x, so larger one is x+12. Now x+2(x+12)=93

Or x+2x+24=93 or 3x=93-24=69

Hence x=69/3=23 and larger no. is 23+12=35. Check:23+35*2=23+70=93, OK.

## Answer this Question

## Related Questions

- math - A. John is now 10 years older than Marcus. Three times John's age 5 years...
- math - A. Brad is 12 years older than Sam . If Brad were 8 years older than he ...
- Math - While hiking, Kristen went up 300 feet. If Kristen started at 100 feet ...
- Math - 2x represents that Clyde is twice (2 times) as old as Bonnie. 6 years ...
- algebra - Ten years from now Tim will be twice as old as Jane was when mary was ...
- English - Why is it wrong to say " a child of six years old" and is possible to ...
- math - Sanjeev is twice as old as his son.If after four years he will be four ...
- math - Sanjeev is twice as old as his son.If after four years he will be four ...
- math - Jack is twice as old as he was 5 years ago. His mother was then six times...
- grade 9 algerbra HELP!!!! PLZ!!! - betty is now three times as old as mike, but ...

More Related Questions