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September 30, 2014

September 30, 2014

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

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 4:23amLet 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.

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